Question

Which equations have no solution? Check all that apply.

A) 0 - x = 0
B) x = -15
C) |x| = 12
D) -1 - x = 9
E) -1 - x = -2

Answer 1

None of the equations provided have no solution. Equation A has a solution of x = 0, and equations D and E each have one solution respectively. Equations B and C also have valid solutions.

Step-by-step explanation:

The equations that have no solution are:

1. A) 0 - x = 0
2. D) -1 - x = 9
3. E) -1 - x = -2

For A), the equation simplifies to -x = 0, which has a solution of x = 0, not no solution. For D), the equation simplifies to -x = 10 which has a solution of x = -10. For E), the equation simplifies to -x = -1 which has a solution of x = 1. Therefore, none of the equations provided have no solution.

Equation B) x = -15 simply states that x is equal to -15, which is a valid solution. Equation C) |x| = 12 also has two solutions, x = 12 and x = -12, because the absolute value of both 12 and -12 is 12.