Answer
The solution is -3
Work Step by Step
$\frac{a}{6}$ =$\frac{a}{3}$ + $\frac{1}{2}$ Multiply by LCD, 6
6$\frac{a}{6}$ =6$\frac{a}{3}$ +6 $\frac{1}{2}$
$\frac{6 \times a}{6}$ =$\frac{6 \times a}{3}$ + $\frac{6 \times1}{2}$
a =$\frac{2\times3\times a}{3}$ + $\frac{2\times3 \times1}{2}$
a=2a +3
a-2a=2a-2a+3
-a=3
a=-3
The solution is -3
Check
Replace a with -3
$\frac{a}{6}$ =$\frac{a}{3}$ + $\frac{1}{2}$
$\frac{-3}{6}$ =$\frac{-3}{3}$ + $\frac{1}{2}$ LCD is 6
6$\frac{-3}{6}$ =6$\frac{-3}{3}$ +6 $\frac{1}{2}$
-3=2$\times$-3 +3
-3=-6+3
-3=-3
