Question

To solve this system, you could do the following steps:%0D%0A%0D%0A3x+4y=48%0D%0A3%0D%0A%0D%0A+%0D%0A4%0D%0A%0D%0A=%0D%0A48%0D%0A6x+2y=60%0D%0A6%0D%0A%0D%0A+%0D%0A2%0D%0A%0D%0A=%0D%0A60%0D%0A(6 points)%0D%0APut 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.%0D%0A1. Choose the best method to solve by looking at the way the equations are set up for you: Elimination%0D%0A%0D%0A2. Using the best method, how could you get the x variables to cancel out? Response area%0D%0A%0D%0A3. After you complete step 2, what would your top equation be? Response area%0D%0A%0D%0A4. Line them up and add the equations together to get this equation. Response area%0D%0A%0D%0A5. Solve for y. Response area%0D%0A%0D%0A6. Solve for x. Response area%0D%0A%0D%0AChoose a method

Answer 1

1. Elimination
2. Multiply the first equation by 2 and the second equation by -3 to make the x variables cancel out.
3. The top equation after canceling out the x variables would be: 6y = 36.
4. Line them up and add the equations together to get the equation: 6y + 2y = 36 + 60.
5. Solve for y: 8y = 96, y = 12.
6. Substitute the value of y back into one of the original equations to solve for x: 3x + 4(12) = 48, 3x + 48 = 48, 3x = 0, x = 0.

Method: Elimination