Question

How do you solve the system of equations `4x - 4y = 10` and `3x + 2y = 5`?

Answer 1

`x=2`
`y=-0.5`

Explanation:

`4x-4y=10`
`3x+2y=5`
`x-y=2.5`
`x=y+2.5`
`3(y+2.5)+2y=5`
`3y+7.5+2y=5`
`5y=5-7.5`
`5y=-2.5`
`y=-0.5`
`x=-0.5+2.5`
`x=2`
Check
`4x-4y=4xx2-4xx(-0.5)=8+2=10`
`3x+2y=3xx2+2xx(-0.5)=6-1=5`

Verified