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x - 2y = -4

2x - y = 1

To solve, multiply both sides of 2nd equation by -2 (remember if you do the same thing to both sides you do not change the equation), then add equations.

x - 2y = -4

-4x + 2y = -2

adding,

-3x = -6

divide by -3 both sides

x = 2

substitute x = 2 into 2nd equation

2(2) - y = 1

4 -y = 1

-y = -3

y = 3

Ans: x = 2, y = 3

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Q: How do solve for x-2y equals -4 and 2x-y equals 1?
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