Question

Solve the linear equation:

$\frac{x}{7}-\frac{3x-1}{5}+3=0$

• A. $x=9$
• B. $x=3$
• C. $x=7$
• D. $x=5$

Answer 1

The correct option is C $x=7$

We have $\frac{x}{7}-\frac{3x-1}{5}+3=0$

$⟹\frac{5x-7(3x-1)+3\times 35}{35}=0$ ....... [Taking LCM on LHS]

$⟹\frac{5x-21x+7+105}{35}=0$

$⟹-16x+112=0\times 35$ [By cross-multiplication]

$⟹-16x+112=0⟹-16x=-112$ ...... [Transposing 112 to RHS]

$⟹x=\frac{112}{16}or,x=7$