How do you solve the following system?: # x - y = -6, x+y=4 #

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Answer 1 · 2015-11-15T08:35:20

The solution for the system of equations is
#color(blue)(x=-1,y=5#

#xcolor(blue)(-y)=-6#......equation #1#
#x+color(blue)(y)=4#...........equation #2#

Adding the two equations results in elimination of #color(blue)(y#

#xcancelcolor(blue)(-y)=-6#
#x+cancelcolor(blue)(y)=4#

#2x=-2#

#x=(-2)/2#

#color(blue)(x=-1#

Finding #y# from equation #1#
#x+y=4#

#y=4-x#

#y=4-(-1)#

#y=4+1#

#color(blue)(y=5#