Question

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

Answer 1

To determine which number from the set {6, 7, 8} makes the equation \( 54 \div x = 9 \) true, we can solve the equation for \( x \).

Starting with the equation:

\[
54 \div x = 9
\]

We can rewrite this as:

\[
\frac{54}{x} = 9
\]

Now, to isolate \( x \), we can multiply both sides by \( x \):

\[
54 = 9x
\]

Next, we divide both sides by 9:

\[
x = \frac{54}{9} = 6
\]

Now, we can check which number from the set {6, 7, 8} matches \( x = 6 \):

- For \( x = 6 \):
\[
54 \div 6 = 9 \quad (\text{True})
\]

- For \( x = 7 \):
\[
54 \div 7 \approx 7.71 \quad (\text{False})
\]

- For \( x = 8 \):
\[
54 \div 8 \approx 6.75 \quad (\text{False})
\]

Thus, the number from the set {6, 7, 8} that makes the equation true is:

\[
\boxed{6}
\]