Question

How do you solve the system of equations `2x+y=2` and `x-3y=-27`?

Answer 1

Solution: `x= -3, y=8`

Explanation:

`2x+y=2; (1), x-3y=-27 ; (2)`. Multiplying equation (2) by

`2` we get # 2x-6y=-54 ; (3),subtracting equation (3)

from equation (1) we get, `7y=56 :. y=56/7=8` . Putting

`y=8` in equation (1) we get, `2x+8=2 :. 2x= 2-8` or

`2x= -6 :. x = -3`

Solution: `x=-3, y=8` [Ans]