Question

How do you solve the following system of equations?: `-9x + 6y = 2 , 4x+y=8`?

Answer 1

Solution: `x=46/33 , y=80/33`

Explanation:

`-9x+6y = 2 ; (1) , 4x+y=8 ; (2)` . Multiplying equation(2)

by `6` we get, `24x+6y=48 ; (3)`. Subtracting equation (1)

from equation(3) we get, `33x=46 or x =46/33`. Putting

`x =46/33` in equation (2) we get, `4*46/33+y= 8` or

`184/33+y= 8 or y= 8-184/33 or y=(264-184)/33` or

`y=80/33`. Solution: `x=46/33 , y=80/33` [Ans]