# Question #321af

Aug 17, 2016

$x = 52 , a = 39$

#### Explanation:

If you have equations which have fractions, you can get rid of the denominators by multiplying each term by the LCD

$\frac{x}{8} - \frac{1}{2} = 6 \text{ } L C D = 8$

$\frac{\textcolor{red}{8} \times x}{8} - \frac{\textcolor{red}{8} \times 1}{2} = \textcolor{red}{8} \times 6$

$\frac{\textcolor{red}{\cancel{8}} \times x}{\cancel{8}} - \frac{{\textcolor{red}{\cancel{8}}}^{4} \times 1}{\cancel{2}} = \textcolor{red}{8} \times 6$

$x - 4 = 48$

$x = 52$

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$15 = \frac{a}{3} - 2 \text{ } \times 3$

$\textcolor{b l u e}{3} \times 15 = \frac{\textcolor{b l u e}{\cancel{3} \times} a}{\cancel{3}} - \textcolor{b l u e}{3 \times} \left(- 2\right)$

$45 = a + 6$

$39 = a$