What is # x# in this equation #8x -3 = 8x+13#?

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Answer 1 · 2016-08-28T14:21:57

It isn't. There is no #x# that will satisfy this equation.

Given:

#8x-3 = 8x+13#

Subtract #8x# from both sides to get:

#-3 = 13#

Since this is false, there is no solution.

Geometrically, the following two lines are parallel, so do not intersect in a solution...

#y=8x-3#

#y=8x+13#

graph{(y-8x+3)(y-8x-13) = 0 [-10, 10, -5, 5]}