Question

How many solutions are there to the following equation?

5 ( x-3 ) - 3x = 8x - 15 - 6x

A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions

Answer 1

D

Explanation:

Given

5(x - 3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 2x - 15

2x - 15 = 2x - 15

Since both sides are the same then any real value of x will be a solution.

That is there are infinitely many solutions

Answer 2

D) infinitely many solutions

Explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.