Question

If $13x+2y=35$ and $2x+13y=–20,$ then the value of $x–y$ is

• A. 3
• B. 1
• C. 4
• D. 5

Answer 1

The correct option is D 5

$\text{Given :}13x+2y=35......\left(i\right)$

$2x+13y=-20......\left(ii\right)$

$\text{Subtracting (ii) from (i), we get}$

$(13x+2y)-(2x+13y)=35-(-20)$

$\Rightarrow 13x-2x+2y-13y=35-(-20)$

$\Rightarrow 11x-11y=55$

$\Rightarrow x-y=5$

Hence, the correct answer is option (4).