Solve :

2x + 7y = 11

5x + $\dfrac{35}{2}y$ = 25

2x + 7y = 11 …………… (1)

5x + $\dfrac{35}{2}y$ = 25 …………… (2)

Multiply 5 in the first equation and 2 in the second equation, then subtract both equations.

(2x + 7y = 11) x 5

(5x + $\dfrac{35}{2}y$ = 25) x 2

⇒ 10x + 35y = 55

10x + 35y = 50

This means there is no pair of values for x and y that satisfies both equations.

Hence, there is no solution for x and y.