How do you solve using elimination of #-3x + 4y = -11# and #-5x - 2y = -27#?

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Answer 1 · 2016-01-03T18:44:14

The solution for the system of equations is

#color(blue)(x=5,y=1#

#-3x+color(blue)(4y)=-11#....equation #(1)#

#-5x -2y=-27# , multiplying by #2#
#-10x -color(blue)(4y)=-54#....equation #(2)#

Solving by elimination.

Adding the two equations.

#-3x+cancelcolor(blue)(4y)=-11#

#-10x -cancelcolor(blue)(4y)=-54#

#-13x=-65#

#color(blue)(x=5#

Finding #y#:
#-3x+4y=-11#

#4y=-11+3x#

#4y=-11+3 xx 5 #

#4y=-11+15 #

#4y=4 #

#y=4/4#

#color(blue)(y=1#