Given the system of equations presented here:
4x + y = 4
2x + 7y = 28
which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated? (5 points)
multiply the second equation by −1 to get −2x − 7y = −28
multiply the second equation by −4 to get −8x − 28y = −112
multiply the first equation by −7 to get −28x − 7y = −28
multiply the first equation by −2 to get −8x − 2y = −8

Option C is correct.

Multiply the first equation by -7 to get;    -28x - 7y = -28.

Step-by-step explanation:

Given the system of equation:

                       .....[1]

                  .....[2]

Multiply equation [1] by -7 to both sides we get;

Using distributive property;

                      ......[3]

Combined the equation [2] and [3] , the variable y will be eliminated to solve for x.

Therefore, the following actions create an equivalent system  such that, when combined with the other equation, one of the variables is eliminated is;

Multiply the first equation by -7 to get;    -28x - 7y = -28

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