Question

Solve: 3x + 4y = 10, 2x − 2y = 2 by the method of elimination.

Answer 1

3x + 4y = 10 …………..(1)
2x − 2y = 2 (or) x – y = 1 …………(2)
Subtract the three times of equation (2) from equation (1), we get
7y = 7
$\therefore y=1$
Put y = 1 in (1) we get 3x+4 $\times$ 1=10
3x = 10−4 = 6
$\therefore x=2$
Hence x = 2,y = 1.