Use substitution to determine which number from the set {6, 7, 8} makes the equation 54÷x=9 true.(1 point)

x=

This is for the Equations Unit test help pls!!

1 answer

First, we can start by rewriting the equation as:

54/x = 9

Now we can use substitution by trying each number from the set {6, 7, 8} as the value of x and seeing which one makes the equation true:

If x = 6:

54/6 = 9

9 = 9

This means that x = 6 is a solution to the equation.

If x = 7:

54/7 ≈ 7.71

7.71 ≠ 9

This means that x = 7 is not a solution to the equation.

If x = 8:

54/8 = 6.75

6.75 ≠ 9

This means that x = 8 is not a solution to the equation.

Therefore, the only solution that makes the equation true is x = 6.