Answer
The system has no solution
Work Step by Step
Equation 1 variable y isolated - select the substitution method.
$y=\displaystyle \frac{5}{3}x+7\qquad $(*)
Replace y with $\displaystyle \frac{5}{3}x+7$ in the second equation:
$\displaystyle \frac{5}{3}x+7=\frac{5}{3}x-8\qquad$ ... and solve for $x$.
...add $-7-\displaystyle \frac{5}{3}x$ to both sides
$ 0=-15\qquad$ ... a contradiction.
The system has no solution
(the graphs of the equations are parallel lines, no intersections.)