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Given:
x - 2y = 5
Solve for x:
x = 5 + 2y
Given :
2x - y = 6
Replace x with the value we found above:
2(5 + 2y) - y = 6
10 + 4y - y = 6
3y = -4
y = -4/3
Now take one of our original equations, and plug in that value of y to get x:
x - 2(-4/3) = 5
x = 5 - 8/3
x = 7/3
Now check if we're right:
x - 5 = 2y
7/3 - 15/3 = 2(-4/3)
-8/3 = -8/3
So that is the answer. x = 7/3 and y = -4/3.
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4
