# Question #b0bac

Feb 12, 2017

$Y = - \left(\frac{3}{2} X + 4\right)$

#### 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 $X$:

$\textcolor{w h i t e}{\text{XXX}} 3 X + 2 Y = - 8$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow 2 Y = - 3 X - 8$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow Y = - \frac{3}{2} X - 4$

Note that the graph of $2 X + 3 Y = - 8$ (below) is not a single point;
rather it is a line giving infinitely many solution pairs for $\left(X , Y\right)$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow Y = - \left(\frac{3}{2} X + 4\right)$ graph{-(3/2x+4) [-5.67, 4.196, -4.36, 0.573]}