Question #bbd86

1 Answer
Nov 2, 2017

Infinitely many solutions! See below.

Explanation:

Isolate x:

-4x-7+10x=-7+6x
6x-7=-7+6x [Combine like terms.]
-7=-7 [Subtract 6x from both sides.]

Notice that x got completely eliminated from the equation, leaving you with a constant equaling another constant.

When you get a number equaling a number, you can either draw one of two conclusions:
number!=number -> NO SOLUTION
number=number -> INFINITELY MANY SOLUTIONS

Since -7 is the same (or equal to) -7, we can conclude that there are INFINITELY MANY SOLUTIONS, which means ANY real number substituted for x will make the equation true.