Which of the following equations has a solution of −12 ?(1 point)

Question

Responses

A x + 12 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1

B x + 1 = 12
x plus 1 equals Start Fraction 1 over 2 End Fraction

C x − 1 = −12
x minus 1 equals negative Start Fraction 1 over 2 End Fraction

D x − 12 = 1

Answer 1

To determine which equation has a solution of -12, we can substitute -12 for x in each equation and see which one results in a true statement.

A) x + 12 = -1
Substitute -12 for x:
-12 + 12 = -1
0 = -1

This equation is false.

B) x + 1 = 12
Substitute -12 for x:
-12 + 1 = 12
-11 = 12

This equation is false.

C) x - 1 = -12
Substitute -12 for x:
-12 - 1 = -12
-13 = -12

This equation is true.

D) x - 12 = 1
Substitute -12 for x:
-12 - 12 = 1
-24 = 1

This equation is false.

Therefore, the equation C) x - 1 = -12 has a solution of -12.