Solve 32=frac{64v_{1}}{30}+frac{10000v_{1}-9970}{30}

$$32 = \frac { 64 v _ { 1 } } { 30 } + \frac { 10000 v _ { 1 } - 9970 } { 30 }$$

Solve for v_1

$$v_{1} = \frac{5465}{5032} = 1\frac{433}{5032} \approx 1.086049285$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30.

$$960=64v_{1}+10000v_{1}-9970$$

Combine 64v_{1} and 10000v_{1} to get 10064v_{1}.

$$960=10064v_{1}-9970$$

Swap sides so that all variable terms are on the left hand side.

$$10064v_{1}-9970=960$$

Add 9970 to both sides.

$$10064v_{1}=960+9970$$

Add 960 and 9970 to get 10930.

$$10064v_{1}=10930$$

Divide both sides by 10064.

$$v_{1}=\frac{10930}{10064}$$

Reduce the fraction \frac{10930}{10064} to lowest terms by extracting and canceling out 2.

$$v_{1}=\frac{5465}{5032}$$