Which of the following equations has a solution of -7?

Question

5x + 11= -24
-3x-8=-29
-x+3=-4
4x-23=5

Answer 1

To determine which equation has a solution of -7, we can substitute -7 for x in each equation and check if the equation is true or not.

For the equation 5x + 11 = -24:
5(-7) + 11 = -24
-35 + 11 = -24
-24 = -24
The equation is true when x = -7.

For the equation -3x - 8 = -29:
-3(-7) - 8 = -29
21 - 8 = -29
13 = -29
The equation is not true when x = -7.

For the equation -x + 3 = -4:
-(-7) + 3 = -4
7 + 3 = -4
10 = -4
The equation is not true when x = -7.

For the equation 4x - 23 = 5:
4(-7) - 23 = 5
-28 - 23 = 5
-51 = 5
The equation is not true when x = -7.

Therefore, the only equation that has a solution of -7 is 5x + 11 = -24.