Question

How do you solve the system using the elimination method for 3x+4y=18 and -2x+5y=34?

Answer 1

I found:
`x=-2`
`y=6`

Explanation:

I would multiply the first equation by `2` and the second by `3` and add them (in columns):

`{6x+8y=36`
`{-6x+15y=102` adding:
`0+23y=138`
So `y=138/23=6`

using this value into the first equation gives you:
`3x+4*6=18`
`3x+24=18`
`3x=-6`
`x=-6/3=-2`