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:
\[ \boxed{6} \]
2 answers