Question

Find the unique solution for 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)

Given that,
x + 2y - 5 = 0.....(1)

7x + 3y -13 = 0....(2)

Multiplying (1) with 7 we get

$\Rightarrow$ 7x + 14y = 35

Subtracting (2) from (1) we get

​​​​​​​$\Rightarrow$ 11y = 22​​​​​​​
$\Rightarrow$ y = 2

Plugging in the value of y in (1): we get$\Rightarrow$x + 2(2) = 5​​​​​​​
$\Rightarrow$x = 1

Hence x = 1 and y = 2