How do you solve the following system?: #7x +2y =-2 , -4x +5y = 4#

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Answer 1 · 2018-03-29T10:53:23

#x=-18/43# and #y=20/43#

#4*(7x+2y)+7*(-4x+5y)=4*(-2)+7*4#

#28x+8y-28x+35y=-8+28#

#43y=20# , so #y=20/43#

Hence,

#-4x+5*20/43=4#

#-4x=(172-100)/43#

#-4x=72/43#, so #x=-18/43#