Solve for t
t=yz-\frac{8y}{5}+\frac{8}{5}
z\neq \frac{8}{5}
Solve for y
y=-\frac{5t-8}{8-5z}
z\neq \frac{8}{5}
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y\left(-5z+8\right)=8-5t
Multiply both sides of the equation by -5z+8.
-5yz+8y=8-5t
Use the distributive property to multiply y by -5z+8.
8-5t=-5yz+8y
Swap sides so that all variable terms are on the left hand side.
-5t=-5yz+8y-8
Subtract 8 from both sides.
\frac{-5t}{-5}=\frac{-5yz+8y-8}{-5}
Divide both sides by -5.
t=\frac{-5yz+8y-8}{-5}
Dividing by -5 undoes the multiplication by -5.
t=yz-\frac{8y}{5}+\frac{8}{5}
Divide -5yz+8y-8 by -5.
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