Solve the following equation : 2 z -2 1 2 =3 1 3 - Vidyadip

Question

Solve the following equation : $2 z -2 \frac{1}{2}=3 \frac{1}{3}$

✓

Answer

$2 z -2 \frac{1}{2}=3 \frac{1}{3}$
$\Rightarrow 2 z -2 \frac{1}{2}+2 \frac{1}{2}=3 \frac{1}{3}+2 \frac{1}{2}..($ Adding $2 \frac{1}{2}$ to both sides$)$
$\Rightarrow 2 z=\frac{10}{3}+\frac{5}{2}$
$\Rightarrow \frac{20+15}{6}=\frac{35}{6}$
$\Rightarrow \frac{2 z }{2}=\frac{35}{6 \times 2} ....($ Dividing by $2)$
$\Rightarrow z =\frac{35}{12}=2 \frac{11}{12}$

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