Question

How do you solve the following system of equations?: `x-2y=13 , 3x – 2y = -7`?

Answer 1

`x=-10`
`y=-23/2`

Explanation:

`x-2y=13` --- (1)
`3x-2y=-7` --- (2)

From (1)
`x=13+2y` --- (3)

Sub (3) into (2)

`3(13+2y)-2y=-7`
`39+6y-2y=-7`
`4y=-46`
`y=-23/2` --- (4)

Sub (4) into (3)
`x=13+2(-23/2)`
`x=-10`