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How do you solve the following system?: # -x-8y=32, y= 1/2x +2 #

1 Answer

Nov 21, 2015

#(x,y)=(-48/5,-14/5)#

Explanation:

[1]#color(white)("XXX")-x-8y=32#
[2]#color(white)("XXX")y=1/2x+2#

Substitute #(1/2x+2)# from [2] for #y# in [1]
[3]#color(white)("XXX")-x -8(1/2x+2) = 32#

Simplify
[4]#color(white)("XXX")-x-4x-16 = 32#

[5]#color(white)("XXX")-5x=48#

[6]#color(white)("XXX")x=-48/5#

Substitute #(-48/5)# from [6] for #x# in [2]
[7]#color(white)("XXX")y=1/2(-48/5) + 2#

Simplify
[8]#color(white)("XXX")y=-14/5#

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