Solve for r
r=\frac{2\left(-3s+t-2\right)}{3}
Solve for s
s=\frac{t}{3}-\frac{r}{2}-\frac{2}{3}
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3r+6s=2t-4
Use the distributive property to multiply 3 by r+2s.
3r=2t-4-6s
Subtract 6s from both sides.
3r=-6s+2t-4
The equation is in standard form.
\frac{3r}{3}=\frac{-6s+2t-4}{3}
Divide both sides by 3.
r=\frac{-6s+2t-4}{3}
Dividing by 3 undoes the multiplication by 3.
r=\frac{2t}{3}-2s-\frac{4}{3}
Divide -4+2t-6s by 3.
3r+6s=2t-4
Use the distributive property to multiply 3 by r+2s.
6s=2t-4-3r
Subtract 3r from both sides.
6s=-3r+2t-4
The equation is in standard form.
\frac{6s}{6}=\frac{-3r+2t-4}{6}
Divide both sides by 6.
s=\frac{-3r+2t-4}{6}
Dividing by 6 undoes the multiplication by 6.
s=\frac{t}{3}-\frac{r}{2}-\frac{2}{3}
Divide 2t-4-3r by 6.