Question

How do you determine the solution in terms of a system of linear equations for 5x-2y=22 and 9x+y=12?

Answer 1

`y=-6`
`x=2`

Explanation:

`5x-2y=22` --- (1)
`9x+y=12` --- (2)

From (2),
`9x+y=12`
`y=12-9x` --- (3)

Sub (3) into (1)

`5x-2(12-9x)=22`
`5x-24+18x=22`
`23x=46`
`x=2` --- (4)

Sub (4) into (3)
`y=12-9x`
`y=12-9(2)`
`y=12-18`
`y=-6`