SOLUTION: two step equation using add and divide property of equality solution is -3?

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Question 1063932: two step equation using add and divide property of equality solution is -3?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Those properties are the Addition Property of Equality and the Multiplication Property of Equality. The number properties which you are learning are for Addition and for Multiplication. We have no "Division Property of Equality".

a, b, c, are real numbers, and a%3C%3E0.

ax%2Bb=c has a solution for x, that x=-3.


ax=c%2B%28-b%29, based on Addition Property of Equality
%281%2Fa%29%28ax%29=%281%2Fa%29%28c%2B%28-b%29%29, based on Multiplication Property of Equality.
next step,
x=%28c%2B%28-b%29%29%2Fa

You are already told that you must have x=-3.
%28c%2B%28-b%29%29%2Fa=-3
%28c-b%29%2Fa=-3

You can pick any three values for a, b, and c which will work. Your given question was not very specific. One possible example which would work is highlight_green%28-9x%2B13=40%29.