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-\frac{2}{3}=x
Consider the second equation. Divide both sides by -3.
x=-\frac{2}{3}
Swap sides so that all variable terms are on the left hand side.
y=-3\left(-\frac{2}{3}\right)-2
Consider the first equation. Insert the known values of variables into the equation.
y=2-2
Multiply -3 and -\frac{2}{3} to get 2.
y=0
Subtract 2 from 2 to get 0.
y=0 x=-\frac{2}{3}
The system is now solved.