Question

Find the value of m in the given equation:$7m+\frac{19}{2}=13$

• A. $4$
• B. $\frac{1}{2}$
• C. $\frac{2}{5}$
• D. None of the above

Answer 1

The correct option is B $\frac{1}{2}$

On transposing $\frac{19}{2}$ from $LHS\text{and}RHS$, it becomes $-\frac{19}{2}$.

Then,

$7m=13-\frac{19}{2}$

$7m=\frac{26-19}{2}$

$7m=\frac{7}{2}$

Now, on dividing both sides by $7$, we get,

$\frac{7m}{7}=\frac{7}{2\times 7}$

$m=\frac{1}{2}$