Which of the following equations has the solution set {−3}
?(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
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:
\(4x+8=−4\)