Question

2x – 3y = -5
4x - 4y = -4
Is (2.3) a solution of the system?

Answer 1

Yes.

Explanation:

We'll substitute in the values in both equations.

`2x-3y=-5`
`4x-4y=-4`

`2(2)-3(3)=-5`
`4(2)-4(3)=-4`

Distribute.

`4-9=-5`
`8-12=-4`

Simplify.

`-5=-5`
`-4=-4`

Yes, it is a solution. You can plug the equations into Desmos to check.