Question

Question #b0bac

Answer 1

`Y=-(3/2X+4)`

Explanation:

A single equation with two unknowns will not have any unique solution.

We could however "solve" this to give an expression for `Y` in terms of `X`:

`color(white)("XXX")3X+2Y=-8`

`color(white)("XXX")rarr 2Y=-3X-8`

`color(white)("XXX")rarr Y = -3/2X-4`

Note that the graph of `2X+3Y=-8` (below) is not a single point;
rather it is a line giving infinitely many solution pairs for `(X,Y)`
`color(white)("XXX")rarr Y= -(3/2X+4)` graph{-(3/2x+4) [-5.67, 4.196, -4.36, 0.573]}