Question

Find the solution of the pair of linear equations
$x+2y=5$ and $7x+3y=13.$

• A. (1, 2)
• B. (2, 1)
• C. (3, 1)
• D. (1, 3)

Answer 1

The correct option is A

(1, 2)

$x+2y=5$ ...(1)

$7x+3y=13$ ...(2)

On multiplying the equation (1) by 7, we get

$7x+14y=35$ ...(3)

On subtracting equation (2) from (3), we get

$11y=22$

$\Rightarrow y=2$

On substituting $y=2$ in equation (1), we get

$x+4=5$

$\Rightarrow x=1$

$\therefore x=1andy=2$