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

1 Answer
Nov 8, 2015

Answer:

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#
#rarr##color(white)("XXX")y=4#