Solve for t
t=-\frac{z}{10}
Solve for z
z=-10t
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2z=3z+10t
Multiply both sides of the equation by 10, the least common multiple of 5,10.
3z+10t=2z
Swap sides so that all variable terms are on the left hand side.
10t=2z-3z
Subtract 3z from both sides.
10t=-z
Combine 2z and -3z to get -z.
\frac{10t}{10}=-\frac{z}{10}
Divide both sides by 10.
t=-\frac{z}{10}
Dividing by 10 undoes the multiplication by 10.
2z=3z+10t
Multiply both sides of the equation by 10, the least common multiple of 5,10.
2z-3z=10t
Subtract 3z from both sides.
-z=10t
Combine 2z and -3z to get -z.
\frac{-z}{-1}=\frac{10t}{-1}
Divide both sides by -1.
z=\frac{10t}{-1}
Dividing by -1 undoes the multiplication by -1.
z=-10t
Divide 10t by -1.
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