How do you solve this system of equation: #6x + z = - 7 and - 4x + 2z = - 6#?

1 Answer
jk.13
Apr 4, 2018

#(x,z) = (-1/2,-4)#

Explanation:

#z=-7-6x# solve for #z# in terms of #x# in the first equation
#-4x+2(-7-6x)=-6# plug into the other equation
#-4x-14-12x=-6# distribute
#-14-16x=-6# combine
#-16x=8#
#x=-1/2#

Now, going back to the other equation
#6(-1/2)+z=-7#
#-3+z=-7#
#z=-4#

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