Question

How do solve the following linear system?: `2x + 4y = 8 , 3x – 4y = 7`?

Answer 1

Solution: `x=3, y=1/2`

Explanation:

`2 x +4 y =8 ; (1) , 3 x -4 y = 7 ; (2)` Adding equation (1)

equation (2) we get, `2 x + cancel(4 y) + 3 x - cancel(4 y) = 8+7`

`:. 5 x = 15 or x =3` Putting `x=3` in equation (1) we get,

`2*3 +4 y =8 or 4 y =8-6 or 4 y =2 or y =1/2`

Solution: `x=3, y=1/2` [Ans]