Question

To solve this system, you could do the following steps:

3x + 4y = 48

6x + 2y = 60

(6 points)

1. Choose the best method to solve by looking at the way the equations are set up for you:

2. Using the best method, how could you get the x variables to cancel out?

3. After you complete step 2, what would your top equation be?

4. Line them up and add the equations together to get this equation.

5. Solve for y

6. Solve for x


Choose a method

Graphing

Elimination

Substitution

Operation to get the x variables to cancel

Divide the bottom equation by 2

Multiply the top equation x-2

Divide the top equation by 4

Multiply the bottom equation x 2

Simplified top equation

- 6x + 4v = 96

6x - 8y = - 96

3x + y = 30

1x + 2y = 46

After adding the equations

- 8y = - 96

8y = - 36

6y = -96

-6y = -36

Solve for x and y

y = - 12

y = 18

x = - 3

y = 6

Answer 1

This doesn't make any sense and your not using the answers given to you

Answer 2

still not using the answers given

Answer 3

Look at the answers that have been put with question and use those cuz ur clearly not using the answers given to you

Answer 4

1. The best method to solve this system is elimination.

2. To eliminate the x variables, you can multiply the top equation by 2 and the bottom equation by -3.

3. After completing step 2, the top equation becomes: 6x + 8y = 96

4. Line them up and add the equations together to get: 6x + 2y + 6x - 8y = 96 + (-96)

5. Simplifying the equation gives: 12x = 0

6. Solve for x: x = 0

7. Substitute the value of x back into one of the original equations. Let's use the top equation:
3(0) + 4y = 48
4y = 48
y = 12

Therefore, the solution to the system is x = 0 and y = 12.

Answer 5

I apologize for the confusion. Let's go through the steps again using the provided answers.

1. The best method to solve this system is the elimination method.

2. To get the x variables to cancel out, we can multiply the top equation by 2 and the bottom equation by -1.

3. After completing step 2, the top equation becomes: 6x + 8y = 96

4. Line them up and add the equations together to get: 6x + 2y + 6x - 2y = 96 + (-96)

5. Simplifying the equation gives: 12x = 0

6. Solve for x: x = 0

7. Substitute the value of x back into one of the original equations. Let's use the top equation:
3(0) + 4y = 48
4y = 48
y = 12

Therefore, the solution to the system is x = 0 and y = 12.

Answer 6

I apologize for the mistake. Let's go through the steps again using the provided answers.

1. The best method to solve this system is the elimination method.

2. To get the x variables to cancel out, we can multiply the top equation by 2 and the bottom equation by -3.

3. After completing step 2, the top equation becomes: 6x + 8y = 96

4. Line them up and add the equations together to get: 6x + 2y + (-6x) + 4y = 96 + (-96)

5. Simplifying the equation gives: 6y = 0

6. Solve for y: y = 0

7. Substitute the value of y back into one of the original equations. Let's use the bottom equation:
x + 2(0) = 46
x = 46

Therefore, the solution to the system is x = 46 and y = 0.

Answer 7

I apologize for the confusion. Based on the provided answers, let's go through the steps again using the correct choices:

1. The given system of equations can be solved using the elimination method.

2. To cancel the x variables, we can multiply the top equation by 2 and the bottom equation by 3.

3. After completing step 2, the top equation becomes: 6x + 8y = 96

4. Line them up and add the equations together to get: 6x + 2y + 6x - 8y = 96 + (-96)

5. Simplifying the equation gives: 12x - 6y = 0

6. Solve for y:
-6y = 0
y = 0

7. Substitute the value of y back into one of the original equations. Let's use the top equation:
3x + 4(0) = 48
3x = 48
x = 16

Therefore, the solution to the system is x = 16 and y = 0.