Answer
The given ordered pair is not a solution.
Work Step by Step
We have $$3x+7y=-19$$ $$-6x=5y+8$$
Possible solution $(\frac{2}{3},-3)$
Substituting on Equation (1) $$3*\frac{2}{3}+7*(-3) = -19$$ $$2-21=-19$$ $$-19=-19$$
Substituting on Equation (2) $$-6*\frac{2}{3} = 5*(-3) +8$$ $$-4=-15+8$$ $$-4\ne-7$$
The given ordered pair is not a solution.
