Question

How do you solve `5x - 3y = 16` and `4x + 5y = -2`?

Answer 1

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

Explanation:

I would multiply the first equation by `-4` and the second by `5` and then add them together (in columns):
`{((-4)[5x-3y=16]),((5)[4x+5y=-2]):}`

`{(-20x+12y=-64),(20x+25y=-10):}` add them:
`0+37y=-74`
`y=-74/37`
`y=-2`
Substitute this back into the first equation:
`5x+6=16`
`x=10/5=2`