How do you solve the following system of equations?: #-x – 2y = 12 , 6-7x +y=0#?

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Answer 1 · 2016-05-23T13:03:20

The solution for the system of equations is:
#color(blue)(x=0#
# color(blue)(y = -6 #

#-x color(blue)( - 2y) = 12#...............equation #(1)#

#-7x + y = -6#, multiplying by #2#
#-14x+color(blue)(2y) =-12#..equation #(2)#

Solving by elimination:

Adding equations #2# and #1#:

#-x cancelcolor(blue)( - 2y) = 12#
#-14x+cancelcolor(blue)(2y) =-12#

#-15x = 0#

#x = 0 / (-15)#

#color(blue)(x=0#

Finding #y# from equation #(2)#
#-7x + y = -6#

# y = -6 + 7x #

# y = -6 + 7 xx 0 #

# y = -6 + 0 #

# color(blue)(y = -6 #