What is the solution to the system of linear equations #2x+y=-9, -2x-3y=11#?

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Answer 1 · 2018-04-24T04:14:10

#(x,y) = (-4, -1)#

#2x+y=-9#

#-2x-3y=11#

Adding,

-2y = 2

#y=-1#

#x = 1/2 (-9 -y) = 1/2(-9 - -1) = -4#

#(x,y) = (-4, -1)#

Check:

# 2(-4) + -1 = -9 quad sqrt #

#-2 (-4) -3 (-1) = 8 + 3= 11 quad sqrt #