How do solve the following linear system?: # x-y=11 , 2x+y=19 #?

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Answer 1 · 2016-01-17T14:20:39

#color(blue)(x=10#
#color(blue)(y=-1#

#x-color(blue)(y)=11#...............equation #1#

#2x+color(blue)y=19#............equation #2#

Solving by elimination:

Adding equations #1# and #2#

#x-cancelcolor(blue)(y)=11#

#2x+cancelcolor(blue)y=19#

#3x=30#

#x=30/3#

#color(blue)(x=10#

Finding #y# from equation #1#:
#x-y=11#

#x-11=y#

#10-11=y#

#color(blue)(y=-1#