Question

The solution for (x,y) for the pair of linear equations x + 2y = 5, 7x + 3y = 13 is (2, 1).

• A. (1, 2)​
• B. (2, 1)

Answer 1

The correct option is B

(2, 1)

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

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

Finding the value of x from equation (1), we get

$x=5-2y$

Plugging this value in equation (2), we get

$7(5-2y)+3y=13$

$35-14y+3y=13$

$35-11y=13$

$-11y=-22$

$y=2$

Substitute this value in $x=5-2y$

$x=5-4$ = 1

Hence, the solution is (1, 2).