Question

Find x so that (x,-14) is a solution to 2x+3y=12

Answer 1

27

Question:

Find
`x` so that
`(x,-14)` is a solution to
`2x+3y=12` .

Explanation:

So we are asked to replace
`y` with -14 and solve for
`x` in the equation:

`2x+3y=12`.

`2x+3y=12` with
`y=-14`:

`2x+3(-14)=12`

`2x-42=12`

Add 42 on both sides:

`2x=54`

Divide both sides by 2:

`x=27`.

So the
`x`-coordinate that corresponding to
`y=-14` is
`27`.

Verify that:

`(27,-14)` is a point satisfying
`2x+3y=12`.

Replace
`x` with 27 and
`y` with -14:

`2(27)+3(-14)=12`

`54+-42=12`

`12=12` is true so our work must be right.