Question

Examine the solution to the equation.

-6(x + 5) + 3 = -2(x + 4) - 4x
-6x - 30 + 3 = -2x - 8 - 4x
-6x - 27 = -6x - 8
-27 = - 8
Which statements accurately describe this equation?
Check all that apply.
This equation has one solution.
This equation has no solution.
This equation has infinitely many solutions.
Any input value for the variable will generate a true
equation.
Any input value for the variable will generate a false
equation.

Answer 1

-27 = -8
+27 on both sides
0 = 19
0 does not equal 19.

This equation has no solution.
Any input value for the variable will generate a false equation.

Answer 2

The correct answers are:

b. This equation has no solution

e. Any input value for the variable will generate a false equation