How do you solve the following system?: #-x -y =-1, x -y = -1#

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Answer 1 · 2015-11-11T07:17:37

The solution for the system of equations is
#color(blue)(x=0#
#color(blue)(y=1#

#color(blue)(−x)−y=−1# ....equation #(1)#
#color(blue)(x)−y=−1#.........equation #(2)#

Upon observing the two equations we realize that by adding them we can eliminate #color(blue)(x#

Solving by elimination

#cancelcolor(blue)(−x)−y=−1#
#cancelcolor(blue)(x)−y=−1#

#-2y=-2#

#y=(-2)/-2#

#color(blue)(y=1#

Now we find #x# by substituting #y# in equation #1#

#−x−y=−1#

#−x=−1+y#

#x=1-y#

#x=1-1#

#color(blue)(x=0#