Answer
$(1,-1)$
$(0,-\frac{8}{3})$
$(-2,-6)$
Work Step by Step
First solve for y, then substitute each given value for x to complete the ordered pairs.
$5x-3y=8$
$5x-3y-5x=8-5x\longrightarrow$ subtract 5x from each side
$-3y=8-5x$
$-3y\div-3=(8-5x)\div-3\longrightarrow$ divide each side by -3
$y=\frac{5x}{3}-\frac{8}{3}$
$y=\frac{5(1)}{3}-\frac{8}{3}=\frac{-3}{3}=-1$
$y=\frac{5(0)}{3}-\frac{8}{3}=-\frac{8}{3}$
$y=\frac{5(-2)}{3}-\frac{8}{3}=-\frac{10}{3}-\frac{8}{3}=-\frac{18}{3}=-6$