x+2y=3;3x+5y=7 solve by elimination method

Answers

Answer 1

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

x + 2y = 3 → (1)

3x + 5y = 7 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 6y = - 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - y = - 2

- y = - 2 ( multiply both sides by - 1 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for y

Substituting into (1)

x + 2(2) = 3

x + 4 = 3 ( subtract 4 from both sides )

x = - 1

solution is (- 1, 2 )

Answer 2

Answer:

(2,1)

Step-by-step explanation:

A P E X


Related Questions

Mr. Roy is scheduled to work less than 18 hours this week. He has already worked 7 hours. If x is the remaining number
of hours Mr. Roy could work this week, which inequalities represent the number of remaining hours
Mr. Roy could be
scheduled to work this week? Select all that apply.
A 2+7 > 18
B 2 + 7 < 18
C 2 +18 > 7
DI > 11
EI < 11

Answers

Answer:

x + 7 > 18

Step-by-step explanation:

Answer:

The answer should be B

Step-by-step explanation:

Assuming x is the 2 then 2+7 should equal 9 and 9 would represent less than the amount Roy wanted to work out which would be the ideal one for him since he wanted to work out less than 18 hours.

can someone help me please ?

Answers

Answer:

-5/-3

Step-by-step explanation:

first y intercept=

-5/-3

Graph the points (0, -2), (4, 0) and (2, 0). If you want to create a parallelogram, which of the following points should be used for the fourth point?
(-1, 0)
(4, 4)
(2, -2)
(-4, 0)

Answers

Answer:

Try using GeoGebra it can help you!

Step-by-step explanation:

Answer:

the answer is (2,-2)

Step-by-step explanation: i just took the test

What is the length of side a? Round to the nearest tenth of an inch

Answers

Answer:

ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36

Answer: 36
Explanation: ^^^

Combine like terms.

4n + 11 − 2n − 5

Answers

Hey there!

4n + 11 - 2n - 5

COMBINE the LIKE TERMS

= (4n - 2n) + (11 - 5)

= 4n - 2n + 11 - 5

= 2n + 6


Therefore, your answer should be:

2n + 6


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Answer:

[tex] \sf \: 2n + 6[/tex]

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

Main steps included in solving,

→ Rearranging the expression.

→ Combining the like terms.

The expression is,

→ 4n + 11 - 2n - 5

Let's simplify the expression,

→ 4n + 11 - 2n - 5

→ (4n - 2n) + (11 - 5)

→ (2n) + (6)

→ 2n + 6

Hence, the answer is 2n + 6.

Find the area of the shape

Answers

Answer:

1725

Step-by-step explanation:

40 is the number of the slope the height is 30.

PLEASE PLEASE HELP WITH THIS

Answers

Answer:

θ = 76°

Step-by-step explanation:

Using the cofunction identity

sinx° = cos(90 - x)°, then

sin14° = cos(90 - 14)° = cos76°

That is θ = 76°

Answer:

in radians o= 0.13716675

Step-by-step explanation:

cos(0)=0.9906074

O= arccos(0.9906074)

O=0.13716675

what is the input of arccos

Answers

Answer:

It returns the angle whose cosine is a given number.

Step-by-step explanation:

For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"

cos30 = 0.866 Means: The cosine of 30 degrees is 0.866

arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.

Use arccos when you know the cosine of an angle and want to know the actual angle.

A bag contains a mixture of 300 red and 75 yellow candies. If you choose one candy at random, what is the probability that it is yellow?

Answers

Answer: A solid 4% chance of picking a yellow

brainliest plz

Step-by-step explanation: We first should combine 300 and 75 because those are the total values of the candies in the bag. After, we should divide the different candies by the total amount of them getting the numbers .8 for red and .2 for yellow. Since the question is that the yellow occurs but not the red and you can miss the bag you would want to calculate what the probability would be to have B happen but not A. The equation for that is:

(1 - P(A)) × P(B)  

where P(A)=.8 and P(B)=.2

plugging in all things it would be

(1-.8)*.2

which equals .04 or 4%

what is 3 13/20 as a decimal

Answers

Answer:

3.65

Step-by-step explanation:

What’s the answer it’s due in 15 mins

Answers

attach a picture? i don’t see anything

Answer:

Well Ima need the question buddy

Step-by-step explanation:

After all shrek can’t answer a question without a question.

What is the area of a circle with a radius of 3 cm

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

A ≈ 28.27cm²

Hope it helps!

Mark me brainliest pls......

Follow me! :)

Answer:

28.26

Step-by-step explanation:

Area of a circle:

A = πr²

A = 3.14(3²)

A = 3.14(9)

A = 28.26

Practice Triangle Ratios (Sides) Find the value of c. Round to the nearest tenth!

Answers

Answer:

30.6688

Step-by-step explanation:

We usually use the formula SOHCAHTOA meaning Sine = opposite side/hypotenuse Cosine = opposite side /hypotenuse then Tangent = Opposite side/Adjacent side. We then say Tan61°= x/17 to get the height as 30.6688 PS/ Hypotenuse is the slanting side of the triangle

HELP!!!!!FAST!!!NOW!!!!HURRY!!!!PLS!!!!

The length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long. How long is the longer leg of the triangle?
1) 17yd
2) 17√2yd
3) 17√3yd
4) 34yd

Answers

Answer:

[tex]17\sqrt{3}[/tex]

Quiz Results:

The length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

What is a 30-60-90 Special Right Triangle?

The right angled triangle in which, the angles are of the measure 30, 60 and 90 degrees is called 30-60-90 Special Right Triangle.

What is law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

The wider the angle is, the larger the side opposite to is.

For this right angled triangle, the side opposite to 60 degrees angle is larger leg (let it be of x yd), and the side opposite to 30 degrees angle is shorter leg (of 17 yd).

As shown in the image below, using the sine law for non right angles,  we get:

[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b}\\\\\dfrac{\sin(30^\circ)}{17} = \dfrac{\sin(60^\circ)}{x}\\\\x =\dfrac{17 \times \sin(60^\circ)}{\sin(30^\circ)} = 17\sqrt{3} \: \rm yd[/tex]

Thus, the length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

Learn more about law of sines here:

https://brainly.com/question/17289163

The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared

Answers

Answer:

[tex]b_1 \approx 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Step-by-step explanation:

Given

[tex]Area = 65cm^2[/tex] --- Area of the triangle

[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid

The missing parameters is:

[tex]h=6 cm[/tex] --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]

So, we have:

[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]

Substitute[tex]b_2 = 2b_1[/tex]

[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]

[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]

[tex]65 = 3b_1 * 3[/tex]

[tex]65 = 9b_1[/tex]

Solve for [tex]b_1[/tex]

[tex]b_1 = \frac{65}{9}[/tex]

[tex]b_1 \approx 7.2[/tex]

Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]

[tex]b_2 \approx 2 * 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

In a game, Ben’s score was 3 times Sam’s score. Together they scored 80 points. Find their scores.

Answers

Answer:

PROBABLY ABOUT 27 OR 26.6666666667

Answer:

Ben's Score = 60

Sam's Score = 20

Step-by-step explanation:

60 + 20 = 80

I really don't know how to explain this.

What is the total surface area of a regular heptagonal pyramid with a base side length of 7 inches and a slant height of 16 inches.

Answers

Answer: Right Regular Pyramid Surface Area = (½ * Perimeter of Base * Slant Height)

Perimeter of Base = 16 inches

Right Regular Pyramid Surface Area = (½ * 16 * 7)

= 56 square inches

Step-by-step explanation: hope this helped

16. Is 4/9 a terminating or repeating decimal?
Terminating Decimal
Repeating Decimal

Answers

Repeating decimal is the answer

Help???? I can’t figure this out

Answers

Answer:

a. 1/Y

Step-by-step explanation:

sin=opposite/hypotenuse

sin t = 1/Y

Bernadette has recently opened her own soup store. It costs her $360 a month plus $2.50 for each bowl of soup she makes. Bernadette charges $5.50 for each bowl of soup. What's the minimum number of bowls Bernadette would need to sell to make a profit each month? Explain.

Answers

Answer: I don't know if it is multiplication or addition but here are the answers.

Step-by-step explanation:  

$360 * $2.50 * $5.50= 4950

$360 + $ 2.50 + $5.50=368

Evaluate the expression when a = 3.

2a =

Answers

Answer:

6

Step-by-step explanation:

replace a by 3

when a=3

2(3)=6

Find the surface area of each figure. Round to the hundredths place when necessary.​

Answers

Answer:

SA = 997.88 mm²

Step-by-step explanation:

height² = 20.5² - 13.3² = 420.25 - 176.89 = 243.36

height = √243.36 = 15.6

SA = (16 x 13.3) + (16 x 20.5) + (16 x 15.6) + (0.5 x 2 x 13.3 x 15.6)

SA = 212.8 + 328 + 249.6 + 207.48 = 997.88 mm²

This table shows how many male and female students attended two different

movies. What is the probability that a randomly chosen person from this
group is male?
Round your answer to two decimal places.
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479

Answers

Answer:

the correct answer is

229/479 = 0.48

The probability that a randomly chosen person from this group is male is 0.48.

What is the probability that a male is chosen?

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

The probability of choosing a male = number of males / total number of males and females

229/479 = 0.48

To learn more about frequency tables, please check: https://brainly.com/question/26577861

if the sum of roots of the quadratic equation x^(2)-3kx-(k+2)=0 is equal to the product of roots,find k

Answers

Answer:

1/2

Step-by-step explanation:

quadratic equation is ax²+bx+c=0

Products of roots is c/a

Sum of roots is -b/a

On comparing the above equation with general equation we have

a=1

b=-(3k)

c=-(k+2)

Now it is given that sum of roots and product of roots is equal

So,

-b/a=c/a

-b=c

-[-(3k)]=-(k+2)

3k=-k-2

3k+k=-2

4k=-2

k=-1/2

Find the volume of a pyramid with a square base, where the perimeter of the base is 8.6 cm and the height of the pyramid is 8.1 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:  12.5 CC

Step-by-step explanation:

V=1/3Bh where B is the area of the base and h is the height

The perimeter of the square base is 8.6 so each side is 2.15 and the area of the base is (2.15)^2 or 4.6225

V=1/3(4.6225)(8.1)=12.5cc

Find the slope of the line through the points (10,-6) and (-1,8)

Answers

Answer:

m=-14/11

Step-by-step explanation:

To find the slope use the formula: y2-y1/x2-x1

(8--16)/(-1-10)

14/-11

=-14/11

Can someone help me with this one too please

Answers

Answer:

1) f - 2

2) 45 + b

3) s - 82

4) 52c

5) t/5

Answer:

1) f-2

2) 45+b

3) s-82

4)52c

5)t/5

5. The scatterplot below shows data for the nine french fry orders from the previous problem, with
the least-squares regression line displayed. Which of the following is the best estimate of the value
of the residual for the point indicated by the arrow?
620
560
calories
500
+
440
00
380
8 12 16 20 24 28 32 36
fat
(A) -570
(B) 570
(C)-60
(D) 60
(E) 630

Answers

Answer:

-60

Step-by-step explanation:

residual = actual - predicted = 570 - 630 = -60

Can someone please help me with math.

Answers

2) is C 7$ because 43- 5(3)=28
28/4=7

Indicate the answer choice that best completes the statement or answers the question Refer to the table that shows the highway fuel economy of various popular vehicles. Fuel Economy (Miles per Gallon) 48 25 35 34 33 37 32 34 23 30 Determine the mean absolute deviation. Round to the nearest hundredth a. 4.5 miles per gallon 33.5 miles per gallon b. 34 miles per gallon d. 33.1 miles per gallon​

Answers

Answer:

d) 33.1 miles per gallon

Step-by-step explanation:

Mean = sum/ number

Mean= (48+25+35+34+33+37+32+34+23+30)/10 = 33.1

Other Questions
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