Question

How do you solve the following system?: `-2x -3y =-3, 4x -5y = -4`

Answer 1

`x=3/22, y=10/11`

Explanation:

You have the system:
1) `-2x-3y=-3`
2) `4x-5y=-4`

Multiply 1) with 2 and add the resulting equation to 2), like this:
`-4x-6y=-6`
`4x-5y=-4`
Adding these together term by term, we get:
`-11y=-10`

`=>y=10/11`
From 1) we get:
`2x=-3y+3=-30/11+3=3/11`
`x=3/22`

It is always a good idea to use the results found and put them into the original system:

1) `-2x-3y=-2*3/22-3*10/11=-(6+60)/22=-3` Check
2) `4x-5y=4*3/22-5*10/11=(6-50)/11=-4` Check