How do solve the following linear system?: # x-2y=8 , -x+3y=-5 #?

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Answer 1 · 2016-02-17T18:27:15

The solution is:
#y=3#

#x=14#

#color(blue)(x)-2y=8#................equation #(1)#
#color(blue)(-x)+3y=-5#.......equation #(2)#

Solving by elimination:

Adding equations #1# and #2#:

#cancelcolor(blue)(x)-2y=8#
#cancelcolor(blue)(-x)+3y=-5#

#y=3#

Finding #x# from equation #1#:

#x-2y=8#

#x=8 +2y#

#x=8 +2 xx 3#

#x=8 +6#

#x=14#