Which of the following equations has the solution set {−3}

Question

?(1 point)
Responses

4x−8=−4
4 x minus 8 is equal to negative 4

4x+8=4
4 x plus 8 is equal to 4

4x+8=−4
4 x plus 8 is equal to negative 4

4x−8=4

Answer 1

To find out which equation has the solution set {−3}, we can test each equation by substituting x = -3.

1) \(4x−8=−4\)

When x = -3:
\(4(-3)−8=−4\)
\(−12−8=−4\)
\(−20≠−4\) (This is not true, so the solution set {−3} does not satisfy this equation.)

2) \(4x+8=4\)

When x = -3:
\(4(-3)+8=4\)
\(−12+8=4\)
\(-4≠4\) (This is not true, so the solution set {−3} does not satisfy this equation.)

3) \(4x+8=−4\)

When x = -3:
\(4(-3)+8=−4\)
\(−12+8=−4\)
\(−4=−4\) (This is true, so the solution set {−3} satisfies this equation.)

4) \(4x−8=4\)

When x = -3:
\(4(-3)−8=4\)
\(−12−8=4\)
\(−20≠4\) (This is not true, so the solution set {−3} does not satisfy this equation.)

Thus, the equation with the solution set {−3} is the third equation:

\(4x+8=−4\)