How do you solve using elimination of x+y=10 and x-y=2?

1 Answer
Alan P.
Nov 8, 2015

By adding the two equations together you eliminate the y variable which allows you to solve x=6.
Alternately, subtract one equation form the other eliminating the x and allowing y=4

Explanation:

Given
[1]color(white)("XXX")x+y=10
[2]color(white)("XXX")x-y=2

Add [1] and [2]
[3]color(white)("XXX")2x=12
rarr[4]color(white)("XXX")x=6

Subtract [2] from [1]
[5]color(white)("XXX")2y=8
rarrcolor(white)("XXX")y=4

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