Question

Solve the following equation:

$\frac{x-1}{7x-14}=\frac{x-3}{7x-26}$

• A. $13$
• B. $8$
• C. $17$
• D. $6$

Answer 1

The correct option is A $13$

Given, $\frac{x-1}{7x-14}=\frac{x-3}{7x-26}$

n cross multiplying, we get

$(x-1)(7x-26)=(x-3)(7x-14)$

$\Rightarrow x(7x-26)-1(7x-16)=x(7x-14)-3(7x-14)$

$\Rightarrow 7x^2-26x-7x+16=7x^2-14x-21x+42$

$\Rightarrow -33x+16=-35x+42$

$\Rightarrow 2x=26$

$\Rightarrow x=13$