How do you solve the following system?: # 7y=4- 2x , 2x + y = -8 #

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Answer 1 · 2016-01-01T16:38:28

The solution for the system of equations is

#color(blue)(x=-5,y=2#

#color(blue)(2x) +7y=4#.........equation #(1)#

#color(blue)(2x) +y=-8#.....equation #(2)#

Solving by elimination.

Subtracting #2# from #1#:

#color(blue)(2x) +7y=4#

#-color(blue)(2x) -y=+8#

#6y=12#

#y=12/6#

#color(blue)(y=2#

Finding #x# from equation #1#

#2x +7y=4#

#2x +7 xx 2=4#

#2x +14=4#

#2x =4-14#

#2x =-10#

#x=-10/2#

#color(blue)(x=-5#