Question

Which of the following equations has a solution of -9?
A. -x +4=5
B. -4x-5=11
C. 5x +13= -32
D. 3x-33=6

Answer 1

To find the solution to an equation, we need to isolate the variable on one side of the equation.

Let's evaluate each equation and see if any of them give us x = -9 as a solution:

A. -x + 4 = 5
Adding x to both sides, we get: 4 = x + 5
Subtracting 5 from both sides, we get: -1 = x
So, the solution to this equation is x = -1, not x = -9.

B. -4x - 5 = 11
Adding 5 to both sides, we get: -4x = 16
Dividing both sides by -4, we get: x = -4
So, the solution to this equation is x = -4, not x = -9.

C. 5x + 13 = -32
Subtracting 13 from both sides, we get: 5x = -45
Dividing both sides by 5, we get: x = -9
So, the solution to this equation is x = -9.

D. 3x - 33 = 6
Adding 33 to both sides, we get: 3x = 39
Dividing both sides by 3, we get: x = 13
So, the solution to this equation is x = 13, not x = -9.

Therefore, the only equation from the options that has a solution of -9 is C. 5x + 13 = -32.