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!!
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.
To use substitution to determine which number from the set {6, 7, 8} makes the equation 54÷x=9 true, you need to substitute each number from the set into the equation and check if the equation holds true.
First, substitute 6 into the equation:
54÷6=9
The result is 9, which is equal to the right side of the equation. Therefore, 6 is a possible solution.
Next, substitute 7 into the equation:
54÷7=9
The result is approximately 7.71, which is not equal to 9. Therefore, 7 is not a solution.
Finally, substitute 8 into the equation:
54÷8=9
The result is 6.75, which is not equal to 9. Therefore, 8 is not a solution.
From this analysis, you can conclude that the number 6 from the set {6, 7, 8} makes the equation 54÷x=9 true.
To determine which number from the set {6, 7, 8} makes the equation 54÷x=9 true, we can substitute each number into the equation and see if it satisfies the equation.
1. Substituting x = 6:
54÷6 = 9
9 = 9
2. Substituting x = 7:
54÷7 = 9
7.714 = 9 (approximately)
3. Substituting x = 8:
54÷8 = 9
6.75 = 9 (approximately)
From the substitutions, we can see that x = 6 is the only number from the set {6, 7, 8} that makes the equation 54÷x = 9 true.