FIRST EQUATION:
-5x + 2y = - 2
-5*(13/6) + 2*(53/12) = -2
-65/6 + 106/12 = -2
-130/12 + 106/12 = -2
-24/12 = -2
-2 = -2
Check!
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SECOND EQUATION
-7x - 2y = -24
-7(13/6) - 2(53/12) = -24
-91/6 - 106/12 = -24
-182/12 - 106/12 = -24
-288/12 = -24
-24 = -24