Question

For the equation: $3z+\frac{7}{2}$ = $\frac{5}{2}$, '$z$' is equal to ____.

• A. $\frac{1}{3}$
• B. $\frac{-1}{3}$
• C. $\frac{-2}{3}$
• D. $\frac{2}{3}$

Answer 1

The correct option is B

$\frac{-1}{3}$

$3z+\frac{7}{2}=\frac{5}{2}$

$\frac{6z+7}{2}=\frac{5}{2}$ (by taking the LCM)

$\frac{6z+7}{2}\times 2=\frac{5}{2}\times 2$

$6z+7=5$

$6z+7-7=5-7$

$6z=-2$

$\frac{6z}{6}=\frac{-2}{6}$

$\therefore z=\frac{-1}{3}$