Question

Felix wrote several equations and determined that only one of the equations has no solution. Which of these equations has no solution?

A. 3(x - 2) + x = 4x + 6
B. 3(x - 2) + x = 4x - 6
C. 3(x - 2) + x = 2x - 6
D. 3( x - 2) + x = 3x - 3

Answer 1

The correct answer is C

Answer 2

The equation that has no solution is 3 (x -2)+ x = 4x -6 ( option B)

Equivalent expressions have the same value but may look different. For instance, 2x+3 and x+3 are equivalent expressions.

They simplify to the same result when you perform operations.

For an equation to have no solution , this means that the expression are equivalent.

3(x - 2) + x = 4x - 6

3x -6 + x = 4x - 6

4x -6 = 4x -6

Therefore, 3(x - 2) + x = 4x - 6 has no solution.