Question

solve equations by elimination
-2x-2y=3
x-2y=1

Answer 1

-2x - 2y = 3
x - 2y = 1 --->(2)
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-2x - 2y = 3
2x - 4y = 2 (result of multiplying by 2)
--------------------add
-6y = 5
y = -5/6
now sub -5/6 in for y in either equation to find x
x - 2y = 1
x - 2(-5/6) = 1
x + 10/6 = 1
x + 5/3 = 1
x = 1 - 5/3
x = 3/3 - 5/3
x = -2/3
check...
-2x - 2y = 3
-2(-2/3) - 2(-5/6) = 3
4/3 + 10/6 = 3
8/6 + 10/6 = 3
18/6 = 3
3 = 3 (correct)

x = -2/3 and y = -5/6