Question

How do you solve the system using the elimination method for 3/2x - 2/3y =3 and 1/2x - 1/4y= -1?

Answer 1

I found:
`x=34`
`y=72`

Explanation:

I would multiply the second equation by `-3` to get:
`{3/2x-2/3y=3`
`{color(red)(-3/2x+3/4y=3)`
adding the two equations (in columns) you get:
`0-2/3y+3/4y=6`
`(-8y+9y)/12=6` and rearranging:
`y=6*12=72`
substituting back `y=72` into the first equation you get:
`3/2x-2/3*72=3`
`3/2x-48=3`
`3/2x=51`
and `x=34`