Final answer:
To solve the equation x/5 = 13, multiply both sides by 5. This cancels out the 5 in the denominator on the left side, leaving x = 65. This process uses the property of equality involving multiplication that keeps the equation balanced.
Step-by-step explanation:
To solve the equation x/5 = 13, we would use the property of equality that involves multiplication or division. Specifically, we want to eliminate the denominator to isolate x on one side of the equation. To do this, we would multiply both sides of the equation by 5.
When we multiply the left side of the equation by 5, the 5 in the denominator and the 5 we are multiplying by will cancel each other out, because a fraction that has the same quantity in the numerator and the denominator is equal to 1.
Applying this property:
5 × (x/5) = 5 × 13
The 5's on the left side will cancel out, leaving us with x = 65. Equality is maintained throughout this process because we have performed the same multiplication operation on both sides of the equation.