Question

How do you solve the linear system of equations 3x-2y=7 and 9x+6y=14?

Answer 1

`y=-7/12`
`x=35/18`

Explanation:

`3x-2y=7` --- (1)
`9x+6y=14` --- (2)

`(1)times3`
`(3x-2y)times3=21`
`9x-6y=21` --- (3)

(2) + (3)
`18x=35`
`x=35/18` --- (4)

Sub (4) into (1)

`3times35/18-2y=7`
`35/6-7=2y`
`-7/6=2y`
`y=-7/12`