Question

Solve the linear equation:

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

• A. $x=0$
• B. $x=8$
• C. $x=6$
• D. $x=9$

Answer 1

The correct option is B $x=8$

We have, $\frac{x-5}{3}=\frac{x-3}{5}$
By cross multiplying, we get

$5(x-5)=3(x-3)$
$\Rightarrow 5x-25=3x-9$
$\Rightarrow 5x-3x=-9+25$ [By transposing $3x$ to LHS and $-25$ to RHS]
$\Rightarrow 2x=16$

$\Rightarrow x=\frac{16}{2}=8$