Question

How do you solve the following system?: `-8x+3y=12 , -2x + 6y = -8`

Answer 1

`x=-16/7`

`y=-44/21`

Explanation:

`color(red)(2)*(-8x+3y)=color(red)(2)*12`
`-16x+color(blue)(6y)=24`
`color(blue)(6y)=24+16x`

`-2x+color(blue)(6y)=-8" "(1)`
`-2x+24+16x=-8`
`14x=-8-24`
`14x=-32`
`x=-32/14`
`x=-16/7`
`"use (1)"`
`-2(-16/7)+6y=-8`
`32/7+6y=-8`
`6y=-8-32/7`
`6y=(-56-32)/7`
`y=-88/42`

`y=-44/21`