How do you find the solution set for x-y=11, 3x+10y=-6?

1 Answer
Alan P.
Aug 6, 2015

(x,y) = (8,-3)

Explanation:

[1]color(white)("XXXX")x-y=11
[2]color(white)("XXXX")3x+10y = -6

Multiply [1] by 3
[3]color(white)("XXXX")3x-3y = 33

Subtract [3] from [2]
[4]color(white)("XXXX")13y = -39

Divide [4] by 13
[5]color(white)("XXXX")y=-3

Substitute (-3) for y in [1]
[6]color(white)("XXXX")x- (-3) = 11#

Simplify
[7]color(white)("XXXX")x+3 = 11

Subtract 3 from both sides of [7]
[8]color(white)("XXXX")x=8

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