Question

How do you solve the system `6x + y = 2` and `2x – 3y = –10`?

Answer 1

`y=3.2`
`x=-1/5`

Explanation:

`6x+y=2` --- (1)
`2x-3y=-10` --- (2)

From (1)

`6x+y=2`
`y=2-6x` --- (3)

Sub (3) into (2)

`2x-3(2-6x)=-10`
`2x-6+18x=-10`
`20x=-4`
`x=-1/5` --- (4)

Sub (4) into (3)
`y=2-6x`
`y=2-6times-1/5`
`y=3.2`