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7 November, 22:36

Which statement correctly explains how Dana can solve the following system of linear equations for x using the elimination method?

4x+8y=20

-4x+2y = - 30

Add the two equations, solve for y, and then substitute - 1 for y to find x.

Multiply the bottom equation by - 4, solve for y, and then substitute - 1 for y to find x.

Multiply the bottom equation by - 1, combine the two equations, solve for y, and then substitute 1 for y to find x.

Multiply the two equations, solve for y, and then substitute 1 for y to find x.

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  1. 7 November, 22:57
    0
    1. The correct statement is the first one, which is: Add the two equations, solve for y, and then substitute - 1 for y to find x.

    2. Therefore, you have the following system of equations:

    4x+8y=20

    -4x+2y = - 30

    3. When you a dd the two equations, and clear the variable "y", you obtain:

    10y=-10

    y=-1

    4. Now, you must substitute - 1 for y (y=-1) to find x, as below:

    4x+8y=20

    4x+8 (-1) = 20

    4x-8=20

    4x=20+8

    4x=28

    x=28/4

    x=7
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