What ordered pair (x,y) satisfies the system of equations #2x-y=6# and #x+2y = -2#?

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Answer 1 · 2017-08-04T03:22:16

(2,-2)

#2x - y =6#
#x+2y=-2#

Solve the second equation for x:

#x+2y=-2#
#x=-2-2y#

Replace x with -2-2y in the first equation:

#2(-2-2y)-y=6#
#-4-4y-y=6#

Solve for y:

#-4-5y=6#
#-5y=10#
#y=-2#

Replace y with -2 in the second equation and solve for x:

#x+2(-2)=-2#
#x-4=-2#
#x=2#

#(2,-2)#

Check:

#2(2)-(-2)=6#
#6=6#

#2+2(-2)=-2#
#-2=-2#