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

Question

3x+4y=48

6x+2y=60

(6 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1. Choose the best method to solve by looking at the way the equations are set up for you: Response area

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

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

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

5. Solve for y. Response area

6. Solve for x. Response area

Answer 1

To solve the given system of equations, let's follow the steps outlined in your question.

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

Response: Elimination method

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

Response: Multiply the first equation by 2.

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

Response: 6x + 8y = 96

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

Response: 10y = 156

5. Solve for y.

Response: y = 15.6

6. Solve for x.

Response: Substitute y back into one of the original equations:
3x + 4(15.6) = 48
3x + 62.4 = 48
3x = 48 - 62.4
3x = -14.4
x = -4.8

So the final answers are:

• x = -4.8
• y = 15.6