Question

Solve the following linear equation;

If $\frac{x-5}{3}=\frac{x-3}{5}$, then $x$is equal to:

• A. $8$
• B. $6$
• C. $2$
• D. $3$

Answer 1

Answer: (A)

$8$

Given, $\frac{x-5}{3}=\frac{x-3}{5}$

Making denominator same on both sides by multiplying and dividing LHS by $5$ and RHS by $3$, we get,

$\frac{5x-25}{15}=\frac{3x-9}{15}$

$5x-25=3x-9$

Take $x$ terms on one side and constants on another side, we get

$2x=16$

$x=8$