How do you solve the following system?: # x +2y =-7 , -2x +2y = 4#

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Answer 1 · 2018-06-06T16:50:01

#x = 11/3#

#y = -5/3#

#x + 2y = -7 " "(1)#

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

Subtract equation #(1)# from #(2)#

#-3x= 11#

#x= -11/3#

Substitute #x = -11/3# into equation #(1)#

#-11/3 + 2y = -7#

#2y = 11/3 -7#

#2y = -10/3#

#y= -5/3#