Answer
$\{(0,2)\}$
Work Step by Step
1. The second equation has 1 as a coefficient of y. solve it for y.
$y=2-x$
2. Substitute y in the other equation and solve.
$3(2-x)=5x+6$
$6-3x=5x+6\qquad-6$
$0=8x\qquad/\div 8$
$0=x$
$x=0$
3. Back-substitute into the expression of y (step 1).
$y=2-(0)=2$
4. Write the solution as an ordered pair.
Solution set: $\{(0,2)\}$