Question

How do you solve 2/3x + 4y = -1 and 1/2x - 3y = -9/4?

Answer 1

`x=-3`
`y=1/4`

Explanation:

Given -

`2/3x+4y=-1` -------------(1) `xx 3`
`1/2x-3y=-9/4`------------(2) `xx4`

`2x+12y=-3` -------------(3)
`2x-12y=-9` --------------(4) --- `(3) = (4)`

`4x=-12`

`x=(-12)/4=-3`

`x=-3`

Substitute `x=-3` in equation (3)

`2(-3)+12y=-3`

`-6+12y=-3`

`12y=-3+6=3`

`y=3/12=1/4`

`y=1/4`