Find the solution of the pair of linear equations
x+2y=5 and 7x+3y=13.
(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
⇒y=2
On substituting y=2 in equation (1), we get
x+4=5
⇒x=1
∴x=1 and y=2