Question

Solve for x and y:
2x – y + 3 = 0, 3x – 7y + 10 = 0

Answer 1

The given system of equation is:
2x – y + 3 = 0…….(i)
3x – 7y + 10 = 0 ……(ii)
From (i), write y in terms of x to get
y=2x + 3
Substituting y = 2x + 3 in (ii), we get
3x – 7(2x + 3) + 10 = 0
⇒ 3x – 14x – 21 + 10 = 0
⇒ -7x = 21 – 10 = 11

 x = -`11/7`

Now substituting x = – `11/7`in (i), we have

- `22/7 - y + 3 = 0`

y = 3 - `22/7 = - 1/7`

Hence, x = – `11/7 and y = - 1/7`