Question

Solve for x : $\frac{6x-2}{9}+\frac{3x+5}{18}=\frac{1}{3}.$

• A. $\frac{1}{3}$
• B. $\frac{2}{3}$
• C. $\frac{3}{5}$
• D. $\frac{8}{3}$

Answer 1

The correct option is A $\frac{1}{3}$

$\frac{6x-2}{9}+\frac{3x+5}{18}=\frac{1}{3}$

$\Rightarrow$ $\frac{12x-4+3x+5}{18}=\frac{1}{3}$

$\Rightarrow$ $\frac{15x+1}{18}=\frac{1}{3}$

$\Rightarrow$ $15x+1=\frac{1}{3}\times 18$

$\Rightarrow$ $15x+1=6$

$\Rightarrow$ $15x=5$

$\Rightarrow$ $x=\frac{5}{15}$

$\therefore$ $x=\frac{1}{3}$