Question

The solution of the pair of linear equations x + 2y = 5, 7x + 3y = 13 is ________.

• A. $x=1,y=-2$
• B. $x=1,y=2$
• C. $x=-1,y=2$
• D. $x=-1,y=-2$

Answer 1

The correct option is B $x=1,y=2$

x + 2y = 5--------(i)

7x + 3y = 13------(ii)

(i) $\times$ 3 $\to$ 3x + 6y =15-----(iii)
(ii) $\times$ 2 $\to$ 14x + 6y = 26 -----(iv)
(iv) - (iii) = 11x =11
$\to$ x = 1
substitute the value of x in (i) we get
x + 2y = 5
2y = 4
y = 2
Hence, the solution is (1, 2).