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1. 4x + 3y = -2

2. x - y = -4

Multiplying 2. by 3 gives: (we have done this so that we end up with a -3y)

3. 3x - 3y = -12

1. added to 3. gives: (now, by adding, the 3y & -3y will cancel out)

4. 7x = -14 (the 4x + the 3x gives 7x, the y's cancel out, -2 + -12 gives -14)

thus x = -14/7

x = -2

Substituting x = -2 into 1. gives

(4 * -2) + 3y = -2

-8 + 3y = -2

3y = -2 + 8

3y = 6

y = 2

Thus x = -2 and y = 2.

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