Question

Use substitution to determine which number(s) from the set {9, 12, 14}
make the equation 6x=72
true.(1 point)

Answer 1

To determine which numbers from the set {9, 12, 14} satisfy the equation \( 6x = 72 \), we'll isolate \( x \) by dividing both sides of the equation by 6:

\[
x = \frac{72}{6}
\]

Calculating that gives:

\[
x = 12
\]

Now, we'll check each number in the set to see if any satisfy \( x = 12 \):

- **For \( x = 9 \)**:
\[
6(9) = 54 \quad \text{(not equal to 72)}
\]

- **For \( x = 12 \)**:
\[
6(12) = 72 \quad \text{(equal to 72)}
\]

- **For \( x = 14 \)**:
\[
6(14) = 84 \quad \text{(not equal to 72)}
\]

The only number from the set {9, 12, 14} that makes the equation \( 6x = 72 \) true is **12**.