Question

what is the value of m in the equation \\(\frac{1}{2}m - \frac{3}{4}n = 16\\), when n = 8?\
\\(\bigcirc\\) 20\
\\(\bigcirc\\) 32\
\\(\bigcirc\\) 44\
\\(\bigcirc\\) 48

Explanation:

Step1: Substitute n = 8 into the equation

Substitute \( n = 8 \) into \( \frac{1}{2}m - \frac{3}{4}n = 16 \), we get \( \frac{1}{2}m - \frac{3}{4} \times 8 = 16 \).

Step2: Simplify the equation

Calculate \( \frac{3}{4} \times 8 = 6 \), so the equation becomes \( \frac{1}{2}m - 6 = 16 \).

Step3: Solve for m

Add 6 to both sides: \( \frac{1}{2}m = 16 + 6 = 22 \). Then multiply both sides by 2: \( m = 22 \times 2 = 44 \).

Answer:

44 (corresponding to the option "44")