To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?

First Equation: 5x − 4y = 28

Second equation: 3x - 9y = 30

The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 3 and the second equation by −5.
The first equation should be multiplied by 9 and the second equation by 4.
The first equation should be multiplied by 9 and the second equation by −4

Answers

Answer 1

Answer:

The first equation should be multiplied by 9 and the second equation by −4

Step-by-step explanation:

Given the simultaneous equation

First Equation: 5x − 4y = 28

Second equation: 3x - 9y = 30

In order to eliminate y, we must make the coefficient of x in both expression to be equal.

To do that the first equation should be multiplied by 9 (negative value of the coefficient of y in equation 2)and the second equation by -4( (coefficient of y in equation 1)


Related Questions

Jessy pastes stamps for 160 envelopes in 2 hours. If she pastes the stamps at the same rate, for how many envelopes can she paste stamps in 30 minutes ?

Answers

2 hours=160

1 hours=160÷2=80

30 minutes=80÷2=40

Answer:She can paste 40 stamps in 30 minutes

Today only, a suit is being sold at a 36% discount. The sale price is $272.

What was the price yesterday?
=$___

Answers

Answer:$425

Step-by-step explanation:

272/(100-36)*100

You first calculate what the price is relative to the old price. 100 minus 36 is 64%. By dividing with 64 you get 1% of the old price. Multiply it then with 100 to get the price yesterday

Ravi bought 50kg rice at the rate it tk40 per kg and sold it at the rate of tk44 per kg. What is the amount of profit or loss?

Answers

Here is your Answer

Step-by-step explanation:

Ravi bought rice = 50kg

Rate it =40kg

Sold it at the rate = = 44kg

Answer: -34Mark me as brainlist and give me 20 thx pls

Needs 20 characters even though the picture says it all.

Answers

It is b I seen it on the test yesterday on Plato

Could someone help with question 7?

Answers

Answer:

x=35

Step-by-step explanation:

since the two triangles are similar, we can set up a proportion to find x:

4/14=10/x

4x=140

x=35

What is cube root 16y^4/x^6
in simplest form?

Answers

Cube root of the given expression [tex]\frac{16y^{4} }{x^{6} }[/tex] in simplest form is equals to [tex]\frac{2y }{x^{2} }\sqrt[3]{2y}[/tex].

What is cube root?

" Cube root is defined as the number when multiply three times and produce result as one original number one time."

According to the question,

Given expression,

[tex]\frac{16y^{4} }{x^{6} }[/tex]

Cube root of the given expression is,

[tex]\sqrt[3]{\frac{16y^{4} }{x^{6} }} \\\\\implies \sqrt[3]{\frac{(2)^{3}(2) y^{3} (y)}{(x^{2}) ^{3} }}\\\\\implies \frac{2y}{x^{2} } \sqrt[3]{2y}[/tex]

Hence, cube root of the given expression [tex]\frac{16y^{4} }{x^{6} }[/tex] in simplest form is equals to [tex]\frac{2y }{x^{2} }\sqrt[3]{2y}[/tex].

Learn more about cube root here

https://brainly.com/question/12726345

#SPJ3

Answer:

B on edge

trust me bro

What is the solution set of 7 x2 + 3 x = 0? {0, 3/7} {0, -3/7} {0, -4/7}

Answers

Answer:

[tex]{ \tt{7 {x}^{2} + 3x = 0 }} \\ { \tt{x(7x + 3) = 0}}[/tex]

Either x = 0 or ( 7x + 3 ) = 0 :

[tex]{ \tt{7x + 3 = 0}} \\ { \tt{x = - \frac{3}{7} }}[/tex]

Answer:

[tex]{ \bf{(0, \: - \frac{3}{7}) }}[/tex]

Name different types of triangles and illustrate how you can introduce each triangle to the foundation phase learner during a lesson presentation. Mention the resources that you will use​

Answers

The types of triangles are: equilateral, isosceles, scalene, right angled, acute angled and obtuse angled triangle.

Triangles are plane shapes with three straight sides. Triangles are classified with respect to either their length of sides, or the measure of each internal angles.

1. Classification of triangles with their length of sides:

i. Equilateral triangle: This implies a triangle with equal length of sides.

ii. Isosceles triangle: This triangle has two of its side with equal length.

iii. Scalene triangle: In this triangle, non of its sides has equal length.

2. Classification of triangles with their internal angles:

i. Acute angled triangle: This triangle has all its angles less than [tex]90^{o}[/tex].

ii. Right angled triangle: This has one of its angles to be a right angle.

iii. Obtuse angled triangle: This triangle has one of its internal angles to be greater than [tex]180^{o}[/tex].

Therefore, there are generally six types of triangles of two classes.

Resources: Set squares, triangular prism, marking board and a marker etc.

For more information: https://brainly.com/question/18075714

help needed right away this is timed

Answers

I think it might be x

Which statement IS true
about the equations -3x + 4y = 12 and +X- ~Y - 1?
The system of the equations has exactly one solution
at -8, 3).
• The system of the equations has exactly one solution at (-4, 3).
• The system of the equations has no solution; the two lines are parallel.
• The system of the equations has an infinite number of solutions represented by either equation.

Answers

Answer:

Second one(Not sure)

Step-by-step explanation:

I believe the system doesn't have an exact answer. But the line are parallel because of (3).

find the measure of the largest exterior angle​

Answers

Answer:

116 degrees

Step-by-step explanation:

To find the answer, we must know what the sum of exterior angles are on a given shape, which is 360 degrees.

So, let's put the equation up.

8x-21+4x-13+5x-11+6x+14=360

Let's add all the x variables together to simplify it. And also add the number together too.

8x+4x+6x+5x= 23x

(-21)+(-13)+(-11)+14 = -31

The equation we have is in its initial simplified version. Let's simplify it even more to solve.

23x-31=360

Add 31 to both sides.

23x=391

Divide 23 on both sides to find x.

391/23 = x

x= 17

Let's put the value x in each exterior angle.

A= 8(17)-21 = 115 degrees

B= 6(17)+14 = 116 degrees

C= 5(17)-11 = 74 degrees

D= 4(17)-13 = 55 degrees

From the work above, we know B is the largest exterior angle, which is 116 degrees.

Hope this helps!

Which phrase describes an unknown or changeable quantity

Answers

Answer:

a variable

Step-by-step explanation:

because it varies

A variable it changes

50 POINTS PLEASE HELP ME

Answers

Answer:

4 -6x^2

Step-by-step explanation:

f°g = f(g(x))

We place g(x) in for x in the function f(x)

= 4-2(g(x)) = 4-2(3x^2) = 4 -6x^2

B.4-6x²

Answer:

Solution given:

f(x)=4-2x

and

g(x)=3x²

now

f o g(x)=f(g(x))=f(3x²)=4-2*3x²=4-6x²

Britany wants to read a book. In her room, she has 5 mysteries, 15 historical fictions, 12 modern fantasies, and 7 blographies. how many different choices are available ?
a. 78
b. 34
c. 32
d.39

Answers

Answer

I guess

39 different choice are available

write your answer in simplest radical form​

Answers

Answer:

n = 8√2

Step-by-step explanation:

It's a 30-60-90 triangle, so n = 2×4√6/√3 = 8√2

Find the measure of missing angle

Answers

Answer:

58 degrees

Step-by-step explanation:

90 - 32 = 58

The following data on price () and the overall score for stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is

(y-hat) = 27.922+0.302x

Brand Price Score
Bose 180 76
Scullcandy 160 76
Koss 95 69
Phillips/O'Neill 70 58
Denon 80 50
JVC 35 26

Required:
Does the t test indicate a significant relationship between price and the overall score?

Answers

Answer:

Relationship exists between price and overall score

Step-by-step explanation:

Given the data:

Brand Price Score

Bose 180 76

Scullcandy 160 76

Koss 95 69

Phillips/O'Neill 70 58

Denon 80 50

JVC 35 26

Using the correlation Coefficient calculator ; the correlation Coefficient, R = 0.875

H0 : no relationship exists

H1 : relationship exists

Using the R Coefficient ;

The test statistic :

T = r / √(1 - r²) / (n - 2)

n = 6

The test statistic :

T = 0.875 / √(1 - 0.875²) / (4)

T =0.875 / 0.05859375

T = 0.9333

The Pvalue from test statistic :

df = n - 2 ; 6 - 2 = 4

Pvalue(0.933, 4) = 0.02246

At α = 0.05

Pvalue < α ; We reject H0 ; and conclude that relationship exists between price and overall score

A water company charges $20 for service and 2.75 for every 1000 gallons of water use in month construct a linear model to represent the water bill; how much would you be charged bill how much would you be charged if you use 5000 gallons of water this month

Answers

Answer:

5000

Step-by-step explanation:

⁉️⁉️

An astronaut on the moon throws a baseball upward. the astronaut is 6​ ft, 6 in.​ tall, and the initial velocity of the ball is 50 ft per sec. the height s of the ball in feet is given by the equation s=-2.7t^2+50t+6.5 ​, where t is the number of seconds after the ball was thrown. complete parts a and b.

Answers

Answer:

Step-by-step explanation:

This was answered in question #24217201. It's the exact same question, but you forgot to put what parts A and B are. The answers and the work are there.

Simplify the radical expression.

Answers

Step-by-step explanation:

the answer is in the image above

Answer:

[tex]-\sqrt{5q^{3} } \times3\sqrt{35}[/tex]

[tex]-\sqrt{5} \times\sqrt{q^{3} } \times3\sqrt{5} \times\sqrt{7}[/tex]

[tex]-15\sqrt{7q^{3} }[/tex]

------------------------

Hope it helps...

have a great day!!

HELP PLEASE GEOMETRY!!

Answers

Answer:

<G = <J

Step-by-step explanation:

SAS means two sides and the included angle

WE know two sides and need the included angle

<G must equal < J

The perimeter of a rectangle is 90. One side of the rectangle is twice the length of the other.
What is the length of the longer side?

Answers

Answer:

30

Step-by-step explanation:

p=2l+2w

p=2(2w)+2w

p=4w+2w

p=6w

p=90

90=6w

15=w

HELP What is true about the dilation?
On a coordinate plane, the image rectangle has points (0, 0), (0, 8), (9, 8), (8, 0). The pre-image has points (0, 0), (0, 2.5), (3, 2.5), (3, 0).

It is a reduction with a scale factor between 0 and 1.
It is a reduction with a scale factor greater than 1.
It is an enlargement with a scale factor between 0 and 1.
It is an enlargement with a scale factor greater than 1.

Answers

9514 1404 393

Answer:

  (d) enlargement with scale factor greater than 1

Step-by-step explanation:

The image is obviously larger than the pre-image, so the dilation is an enlargement. The scale factor associated with an enlargement is always greater than 1.

__

Additional comment

In this drawing, the scale factor in the vertical direction is 8/2.5 = 3.2. The scale factor in the horizontal direction is 9/3 = 3.0. The scale factors are different in the different directions.

Answer:

D.

Step-by-step explanation:

Consider this function rule: multiply the input by two and then subtract one to get the output. Write an equation that gives this rule in symbolic form

Answers

Answer:

f(x)=2x-1

Step-by-step explanation:

The output is f(x). The input is x.

The prompt says to multiply the input by 2, so 2x.

Then subtract 1 to get f(x).

Hope this helps!

HELP ASAP!!!!!!!PLEASE SHOW WORK!!!!!! !!!!!

Answers

Answer:

Area = 12.82 miles²

Step-by-step explanation:

Area of a triangle with two adjacent sides and the inscribed angle between these side is given by,

Area = [tex]\frac{1}{2}ab[\text{sin(C)}][/tex]

By substituting the values of sides a, b and the angle C,

Area = [tex]\frac{1}{2}(5.7\times 9.3)[\text{sin}(14^{\circ})][/tex]

        = 12.82 square miles

What’s the value of x in the parallelogram

Answers

Answer:

145 degrees

Step-by-step explanation:

I'd say that because if it were 135, it would have to be bigger than a right angle and it also isn't a right angle so it has to be acute or less than 90 degrees

Hope this helps!!:)

Answer:

x = 45*

Step-by-step explanation:

m
m
m
135 + 135 + x + x = 360*

270 + x + x = 360*

x + x = 90*

90/2 = x

x = 45*

Brad is 12 years older than Sam. If Brad were 8 years older than he is now, he would
be twice as old as Sam. How old is Sam now?.

Answers

Answer:

Sam is 20 years old.

66. If the length of one side of a triangle 6 and the length of another side is 2, which of the following cannot be the length of the third side of the triangle?
A) 8
B) 7
C)
D) 5

Answers

Answer:

A)

Step-by-step explanation:

what is C ? 6 ?

if that is the case, then my answer is A) 8

why ? because then the other 2 sides together are just as long as this third side, and we would have just a flat line with the length of 8.

every side in a triangle must be shorter than the other two sides together.

but - fully formally such a flat line could be considered a special triangle with 2 angles of 0 degrees and one angle of 180 degrees.

that is why I am asking about the missing C answer. it could be a trick question. but if C is truly 6, then yes, A is the right answer. if C is larger than 8, then C is the right answer.

how to bring the polynomial to the standard form p(x) x^2-2x+4) (x^2+2x+4) ​

Answers

Solution:

[tex]\rightarrow\sf((p(x) {x}^{2} + 2x + 4)( {x}^{2} + 2x + 4)) \\ = \sf {ax}^{2} + bx + c \\ = \sf(p(x) {x}^{2} {x}^{2} + p(x) {x}^{2} (2x) + p(x) {x}^{2} \times 4 + 2x \times {x}^{2} + 2x(2x) + 2x \times 4 + {4x}^{2} + 4(2x) + 4 \times 4) \\ = \sf( {x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16) \\ \rightarrow \large\boxed{\sf\red{{{x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16}}}[/tex]

Answer:

[tex]\large\boxed{\sf{\red{{x}^{4} p(x) + {2x}^{3} p(x) + {4x}^{2} p(x) + {2x}^{3} + {8x}^{2} + 16x + 16}}}[/tex]

[tex]\color{red}{==========================}[/tex]

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✍︎ʀʀʏɴʟʀɴɪɴɢ

✍︎ɪ ʀ

Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?
A) sin(-60)
B) cos(-60)
C) cos(60)
D) sin(60)

Answers

Answer:

sin(-60)

Step-by-step explanation:

its in form of sin(A-B) which formula is SinA.CosB-CosAsinB

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The major asked me to have a drink with him and two other officers. We drank rum and it was very friendly. Outside it was getting dark. I asked what time the attack was to be and they said as soon as it was dark. I went back to the drivers. They were sitting in the dugout talking and when I came in they stopped. I gave them each a package of cigarettes, Macedonias, loosely packed cigarettes that spilled tobacco and needed to have the ends twisted before you smoked them. Manera lit his lighter and passed it around. The lighter was shaped like a Fiat radiator. I told them what I had heard.What does the excerpt reveal about the narrator?He prefers the company of the officers to that of the drivers.He only spends time with the officers so he can get cigarettes for the drivers.He looks down on everyone involved in the war, both officers and enlisted men.He interacts easily with both his superiors and the drivers. which of the following is q point slope equation of a line that passes through the point (5,2)and (-1,-6) 11/12 - 5/8 in simplest form how do human activities such as shelter and food affect the environment 6. A sporting goods store receives an order of 100 baseball caps, of which 22 are green. If 1 ofthe 100 caps is selected at random, what is the probability it will not be green?A. 39/50B. 11/25C. 11/50D. 1/2 Use the following scenario to answer questions 6 through 10: Scenario: You are the emergency department nurse caring for a72-year-old man who sustained a fracture to his right femur and left ankle when he fell off the roof of his two-story home. Yourclient is complaining of pain that is a 9 on a scale of 0 to 10. You note that he has no medications ordered for pain. Find the length of ACA. 12.84B. 43.92C. 12.28D. 40.16 Please help:))))))))))) A man of seemingly modest means died, leaving his nephew as his sole heir. Among the items inherited by the nephew were some old oil paintings. The nephew knew nothing about art and had no place to put the paintings in his home. He placed an ad in the paper offering to sell the paintings at a price to be mutually agreed upon. A buyer for an art gallery responded to the ad. The buyer did not identify himself as an art gallery buyer or tell the nephew that he was knowledgeable about art. Rather, he concocted a story about wanting the paintings for his country estate. The nephew, for his part, revealed his lack of knowledge about art when he told the buyer that his uncle had probably painted the pieces himself. From the signature and the style, the buyer recognized that the artist was a renowned 19th century American portrait artist. The nephew and the buyer agreed upon a price and executed a contract. However, before the nephew delivered the paintings to the buyer, or the buyer paid him, he sought to rescind the contract. The buyer insisted that the nephew deliver the paintings to him and threatened to sue for breach of contract if he did not. Which argument would give the nephew the best basis for rescinding the contract with the buyer Which of the following represents a normalgamete?A. Dd RrB. DRrC. DrD. DdR PLEASE HELP ME ITS REALLY URGENT,WILL MARK AS BRAINLIEST!! If the base of a triangle is 3 and its height is 4, then its area is 6. This triangle has an area of 6, so its base is 3 and its height is 4Valid or invalid HELPPPP MEEEE OUTTTT!!! Write a linear equation in point slope form with the given slope of 1/4 and passing through the point (8,-3) The Nan Song was the first dynasty to allocate a standing army at a port of trade for protection. What would be the reason for doing this? Discuss drought in California. What can we do to prevent drought? How does the structure of a seed help to ensure the growth andsurvival of the plant? HELP!Solve by completing the square: 2x^(2)+x-21 If sin0=3/5 then tan0= What figure of speech is used in "White smoke crept over a green field."AlliterationIdiom Simile Personification write 2^60 as an exponent with a base of 16