I need help with solving systems of linear equations through elimination.
1.) 8x = 3y + 38
24= 6y + 9x
a. all real numbers
b. (4,-2)
c. (4,-4)
d. (6,3)
2.) 6 = 2x + y
7x = 3 - 3y
a. (15,-36)
b. (-5,6)
c. (0,0)
d. (-15,36)
3.) 11x = 5 + 10y
7y = -2x +45
a. (-5,10)
b. (5,5)
c. (14, -4)
d. No solution

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

8x = 3y + 38  

24= 6y + 9x  

Rearrange;

3y - 8x = -38       * 2     -------(1)

6y + 9x = 24       * 1       -------(2)

6y - 16x = -76    -------(3)

6y + 9y  = 24    -------(4)

Subtract (4) from (3)

     -25y = -100

      y= 100/25

     y = 4

Substitute y =4 into(1)

3y - 8x = -38    

3(4) - 8x = -38

12 -8x = -38

-8x = -38 - 12

x = 50/8 = 6 2/8

2) 6 = 2x + y

7x = 3 - 3y

Rearrange;

2x + y = 6            * 3    --------(1)

7x + 3y = -3         * 1     --------(2)

6x + 3y = 18        ---------(3)

7x  + 3y = -3        ---------(4)

Subtract (4) from (3)

-x   = 21

x = -21

Substitute x = -21 into (1)

2x + y = 6

2(-21) + y = 6

-42 + y = 6

y = 6 + 42

y = 48

3)  

11x = 5 + 10y

7y = -2x +45

Rearrange

11x - 10y = 5          * 2  ---------(1)

2x + 7y   = 45       * 11  ---------(2)

22x - 20y = 10     --------(3)

22x + 77y = 495  --------(4)

Subtract (4) from (3)

       -97y  = -485

          y =  5

Substitute y =5 into (1)

11x - 10y = 5  

11x - 10(5) = 5

11x - 50 = 5

11x = 5 + 50

11x = 55

x = 55/11

x = 5


Related Questions

If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone Rin terms of the radius of cylinder r is: ​

Answers

Answer: R = √(3*r^2)

Step-by-step explanation:

For a cylinder with radius r and height H, the volume is:

V = pi*r^2*H

For a cone of height H, and with a base of radius R, the volume is:

V = (1/3)*pi*R^2*H

In this case, we know that both figures have the same height, and the same volume, then we can write:

pi*r^2*H = (1/3)*pi*R^2*H

Now we can divide by pi in both sides to get:

(pi*r^2*H)/pi = ((1/3)*pi*R^2*H)/pi

r^2*H = (1/3)*R^2*H

Now we can divide both sides by H:

(r^2*H)/H = ((1/3)*R^2*H)/H

r^2 = (1/3)*R^2

Now we want to write R in terms of r.

Then we need to isolate R in the above equation:

r^2 = (1/3)*R^2

3*r^2 = R^2

√(3*r^2) = R

R = √(3*r^2)

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?


PLZ answer fast its an emergancy

Answers

Answer:

5/11*5/11=25/121

Step-by-step explanation:

There are 6+5 marbles.

Of those, 5 are red.

The chances of drawing a red marble are 5/11

Since you replace the marble you drew, the chances each draw remain 5/11

You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time

3 1/4 divided by 1 1/4 =

Answers

Answer:

2.6, 2 3/5, 2 6/10

Step-by-step explanation:

2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.

change to improper fractions
13/4 5/4
keep the first fraction the same
Change sign to multiply
Flip second fraction
13/4 x 4/5 = 52/20
change back to mixed fraction
2 12/20

11 b = 5, what is a
B. 25
C, 75
D. 125

Answers

Answer:

2.2

Step-by-step explanation:

What is the data correlation in the scatter plot below?




Negative


No correlation


Positive

Answers

The answer would be positive

What is the percent increase from 40 to 64

Answers

Answer:

60 percent

Step-by-step explanation:

Where: 40 is the old value and 64 is the new value. In this case we have a positive change (increase) of 60 percent because the new value is greater than the old value.

Compared to last year, the population of Boom Town has increased 25%. The
population is now 6,600. What was the population last year?

Answers

Answer:

Step-by-step explanation:

1.25p=6600

p=6600/1.25

p=5280

camille has save php 3,150.00 in the past three month.if the bike cost Php9,000.00,what percent of the cost of the bike has he saved??​

Answers

Answer:

the percent of her saving to the price of the bike is 35%

Hey someone pls help the girl out

Answers

Answer:

because one i one is higher than the other, if you look at it

Answer:

Larger

Step-by-step explanation: 6/5= 1.2 so 1.2 would be diametrically larger

Solve each single-step equation. Show your work. a -2 + 3 = -2

Answers

Answer:

a=−3

Step-by-step explanation:

a−2+3=−2

Step 1: Simplify both sides of the equation.

a−2+3=−2

a+−2+3=−2

(a)+(−2+3)=−2(Combine Like Terms)

a+1=−2

a+1=−2

Step 2: Subtract 1 from both sides.

a+1−1=−2−1

a=−3

Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r?

Answers

Answer:

4

Step-by-step explanation:

combine like terms 15r-6r=9

9=36

divide both sides by 9

=4

Explain answer !

( Will give brainlst)

Answers

Answer:

I think that the answer is m= -5/4

Subtract them so 2x - 3x is -x
12-17 is -5
-x=-5
x=5
substitute x in to one of them ill ise the top
10+2y=12
-10 from both sides
2y=2
y=1
substitute it in the bottom to check its correct

Consider the graph of the function f(x) = e^x

Answers

Answer:

The y intercept is positive 1 because that's where the graph crosses the y axis.

Answer:

Horizontal Asymptote of y= -7

Step-by-step explanation:

Mr. Twain asked the students in his class to draw the figure below using a scale factor
2 in.
3.1 in.
3.9 in.
4.5 in.
Student
Response
5 in.
Mark
Samantha
6 in.
Divia
1.3 in.
Cheng
0.9 in.
Candice
11.7 in.
Select all students that answered Mr. Twain's question correctly.

Answers

Answer:Mark

Step-by-step explanation:Diva

Answer:

Samantha and Candice

Step-by-step explanation:

In the question it says a scale factor of 3 which means you have to multiply all sides by 3 and when I multiply all sides by 3 ; Samantha and Candice were the correct match.

1. If a height of each of the bars in a bar graph get taller as you go from the far left to the far right, the data are:

A. skewed left

B .symmetrical

c skewed right

D. No answer text provided.


2. If the height of each of the bars in a bar graph get shorter as you go from the far left to the far right, the data are:

A. skewed left

B. symmetrical

C. skewed right

D. No answer text provide

3. If the height of the each of the bars in a bar graph as you go from the far left to the right gets taller until you reach the middle and then gets shorter as you continue to the far right, the data are:
Group of answer choices

A.skewed left

B. symmetrical

C. skewed right

D. No answer text provided.

Answers

Answer:

1. Skewed to left (negative)

2. Right skewed (positive)

3. Symmetric

Step-by-step explanation:

An account earns annual simple interest. Find the balance of the account.
$5,000 at 6% for 9 months.

Answers

Answer:

$7700

Step-by-step explanation:

As the account earns 6% interest, if we find 6% of $5000 we get $300, the interest is simple and given every month, meaning you get $2700 in interest as $300 x 9 months = $2700

$5000 initial + $2700 interest = $7700

EDIT:

It could be that the interest is 6% yearly, which means that yearly you get 6% interest, and the answer is $5225.

6% interest is $300 per year

$300÷12= $25 per month

$25 x 9 months = $225

$5000 initial plus $225 interest = $5225 total

1. Find the coordinates of the centroid of the triangle with the given vertices.


A(2,3), B(8, 1), C(5,7)



The centroid is ( , )

Answers

9514 1404 393

Answer:

  (5, 3 2/3)

Step-by-step explanation:

The centroid is the average of the vertex coordinates:

  (A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)

Answer:

46940064

Step-by-step explanation:

1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{0.7}{4.2}

4.2

0.7

, then

x = sin^{-1}sin

−1

(\frac{0.7}{4.2}

4.2

0.7

) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{y}{176}

176

y

( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}

hypotenuse

adjacent

= \frac{x}{176}

176

x

( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

100 POINTS! SHOW WORK!

Given : MO bisects

Answers

Answer:

[tex]\huge\boxed{\boxed{\mathcal{C)x=13.25}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:disectsequationPEMDAStips and formulas:disects divide an angel to two equal angleslet's solve:

[tex] step - 1 : define[/tex]

[tex]\text{according to the question}[/tex]

[tex] \sf5x - 22 = x + 31[/tex]

[tex] step - 2 : solve[/tex]

[tex] \sf \: add \: 22 \: to \: both \: sides : \\ \sf5x - 22 + 22 = x+31+22\\ \sf 5x=x+53[/tex][tex]\sf\text{ cancel x from both sides}\\ \sf 5x-x=x-x+53\\ \sf 4x=53[/tex][tex] \sf divide \: both \: sides \: by \: 4 \\ \sf \frac{4x}{4} = \frac{53}{4} \\ \sf x = 13.25[/tex]

If MO bisects <LMN then m<LMN=2m<LMO

[tex]\\ \sf\longmapsto 5x-22=2(x+31)[/tex]

[tex]\\ \sf\longmapsto 5x-22=2x+62[/tex]

[tex]\\ \sf\longmapsto 5x-2x=62+22[/tex]

[tex]\\ \sf\longmapsto 3x=84[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{84}{3}[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

Mrs.Kim wants to share the stickers equally with each of her students. there are 32 students in here class


100 points for this

Answers

Answer:

Ok... what's the question

Step-by-step explanation:

Answer:

anwser= 8 she will have 0 left

Step-by-step explanation:

each student gets 8 stickers

:)

How so you solve -5r+2r is greater than 54

Answers

Answer:

r < -18

Step-by-step explanation:

-5r+2r is greater than 54 can be written symbolically as:

-5r+2r > 54

Combining the r terms, we get:

-3r > 54

Solving this result for r requires reversing the direction of the inequality sign:

r < -54/3, or r < -18

Answer:

r < -18

Step-by-step explanation:

[tex]-5r+2r > 54\\\\\rightarrow \text{Greater Than - } >\\\\\\\text{Combine the Like Terms}\\\\-5 + 2 = -3\\\\\text{So:}\\\\-5r+2r=-3r\\\\\\-3r>54\\\\\text{Divide by -3: }\\\\\frac{-3r>54}{-3}\\\\\boxed{r<-18}\\\\[/tex]

We switch the inequality sign if we multiply or divide both sides of the inequality by a negative number.

Hope this helps.

Can y’all help me a question 25?!

Answers

Answer:

19.8839 miles away

Step-by-step explanation:

:)

ANSWER TO NUMBER 3 FIRST PERSON GETS BRAINLIEST!!

Answers

The correct answer would be B.)

Multiplying -5x-7= 35

Multiplying two negative numbers gives you a positive

Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?

Answers

Answer:

$16.20

Step-by-step explanation:

Bill: $54.00

Tip: 20%

People: 4

To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40

10%: $5.40

5.40 times 2 = $10.80

54.00 + 10.80 = 64.80

Grand Total= $64.80

Since there are 4 people, we need to divide by 4:

64.80 divided by 4 = $16.20

Jason bought 6 CDs to add to his collection. A week later he dropped half of his total collection in a pond. He only had 12 CDs left. How many CDs did he start with?

Answers

Answer:

24 CDs

Step-by-step explanation:

if he dropped half of his CDs then the other half is in the equation. 12×12=24 the 6 is just there to throw you off...

if I get it wrong my bad its 2 am

Answer:

Jason starts with 18 CDs

Step-by-step explanation:

12 x 2 = 24

24 - 6 = 18

Sam made fruit punch for a party. He mixed 3 gallons of orange juice, 2 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?

Answers

Answer:

19 quarts

Step-by-step explanation:

you change the measurements to quarts.

Algebra quadrilateral dklm is a rhombus if dk=8, find kL

Answers


Pretty sure kL is also 8 since it’s a quadrilateral

Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much does each have?

Answers

Answer:

Bill has $21.

Step-by-step explanation:

There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.

SPORTS A coach uses a metric to determine the athletes that make the Varsity, Junior Varsity A, and Junior Varsity B teams. The total number of points possible on a skills test is 350. Athletes will make "Varsity" with at least 90% of the points. Athletes will make "Junior Varsity A" for 70-89% of the points. Athletes will make "Junior Varsity B" for 50-69% of the points. The table shows the number of points for each athlete that tried out.

Answers

Answer:

there is no picture. :)

Step-by-step explanation:

Answer:

Varsity = 12

Jr Varsity A = 10

Jr Varsity B = 11

Step-by-step explanation:

Varsity = at least 90%  = 350 times 90% = 315

Anything 315-350

Jr Varsity A = 70-89%

350 times 70% = 245

350 times 89% = 311.5

Jr Varsity b = 50-69%

350 times 50% = 175

350 times 69% = 241.5

Kelly had2 3/4 qt of cooking oil. She used 2/5 of it to deep fry some fish. How much oil did she use

Answers

Answer:

answer is 3 3/20

Graph the equation.
y= 5(x + 1)^2– 3
HELP!!!

Answers

Step-by-step explanation:

the answer is in the attachment

The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.

The graph of y= 5(x + 1)²– 3

The equation y = 5(x + 1)² - 3 represents a quadratic function.

The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.

The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.

The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.

Learn more about graphs at:

https://brainly.com/question/25799000

#SPJ2

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