What is - 3x+5y=-2 2x-2y=1

Solve equation 2 for x:

2x - 2y = - 12

2x = 2y - 12

x = y - 6

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Using the above definition of x, we plug it in to equation 1 and solve for y:

2x + 5y = 2

2 (y - 6) + 5y = 2

2y - 12 + 5y = 2

7y - 12 = 2

7y = 14

y = 2

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Plug the above back into equation 2 and solve for x:

2x - 2y = - 12

2x - 2 (2) = - 12

2x - 4 = - 12

2x = - 8

x = - 4

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Solution:

x = - 4

y = 2