How do you solve the system $x+2y=5$ and $2x-2y=4$ ?

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Answer 1 · 2015-05-26T21:33:28

Given
$"[1] "x+2y=5$ and
$"[2] "2x-2y = 4$

By adding [1] and [2], we get
$"[3] "3x = 9$
which implies
$"[4] " x= 3$

Substituting [4] into [1]
$"[5] "3+2y = 5$
which implies
$"[6] " y =1$

So the solution to the given pair of equations is
$(x,y) = (3,1)$

How do you solve the system x+2y=5x+2y=5 and 2x-2y=42x-2y=4?