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How do you solve the system #x + y = 14# and #-x + y = 16#?

1 Answer

Jul 19, 2016

#color(green)((x,y)=(-1,15))#

Explanation:

Given
[1]#color(white)("XXX")x+y=14#
[2]#color(white)("XXX")-x+y=16#

Adding [1] and [2] gives
[3]#color(white)("XXX")2y=30color(white)("XX")rarrcolor(white)("XX")y=15#

Subtracting [2] from [1] gives
[4]#color(white)("XXX")2x=-2color(white)("XX")rarrcolor(white)("XX")x=-1#

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