It goes like this:

2x+y=6 and 7x+2y=4

After you solve, they then give you 4 choices for which one has the same answer:

A: 2x+y=6 and 3x-y=10

B: 7x+2y=4 and 6x-2y=10

C: 2x+y=6 and -3x-y=-9

and

D: 7x+2y=4 and -4x-2y=-12

2x + y = 6

7x + 2y = 4

Multiply the first equation by -2 on both sides

-2(2x + y) = -2*6

-4x - 2y = -12

This represents the same line as first equation.

So the answer is

D: 7x + 2y = 4 and -4x - 2y = -12

What I had actually meant was 'which system has the same *solution* as the first one.

And the answers are x and y.

They include x and y is what I meant.

Yes the equations in option D) have the same solution as the ones in the question as both the system of equations represent the same set of lines.

Oh. I see now. Thanks!

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