Solve for y, x
x=6
y=-2
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-2=\frac{2}{3}x-6
Consider the first equation. Insert the known values of variables into the equation.
\frac{2}{3}x-6=-2
Swap sides so that all variable terms are on the left hand side.
\frac{2}{3}x=-2+6
Add 6 to both sides.
\frac{2}{3}x=4
Add -2 and 6 to get 4.
x=4\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=6
Multiply 4 and \frac{3}{2} to get 6.
y=-2 x=6
The system is now solved.
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