Question

problem 4a determine the value of x that makes the x ÷ 3 = 12

Explanation:

Step1: Multiply both sides by 3

To solve for \( x \) in the equation \( x \div 3 = 12 \), we can multiply both sides of the equation by 3. This is because dividing by 3 and multiplying by 3 are inverse operations, so they will cancel each other out on the left side.

The equation is \( \frac{x}{3}=12 \). Multiplying both sides by 3 gives us:

\( \frac{x}{3}\times3 = 12\times3 \)

Step2: Simplify both sides

Simplifying the left side, \( \frac{x}{3}\times3=x \) (since the 3 in the numerator and denominator cancels out).

Simplifying the right side, \( 12\times3 = 36 \).

So we have \( x = 36 \).

Answer:

\( x = 36 \)