Question

How do you solve the simultaneous equations `4x + 3y = 11` and `4x - 2y = 6`?

Answer 1

`x=2,y=1`

Explanation:

Subtract the second equation from the first and solve for `y`:
`(4x+3y)-(4x-2y)=11-6` => `5y=5` => `y=1`

Use this value in the first equation and solve for `x`:
`4x+3y=4x+3=11` => `4x=8` => `x=2`

Answer 2

I found:
`x=2`
`y=1`

Explanation:

You can multiply the first equation by `-1` and then add the two equations (in columns) as:
`{-4x-3y=-11`
`{4x-2y=6` add them:
`0-5y=-5`
`y=1`
Substitute back into the first equation:
`4x+3=11`
`4x=8`
`x=2`