Solve 400p-12R/24T*p=38

$$\frac { 400 p - 12 R } { 24 T \times p } = 38$$

Solve for R

$$R=\frac{4p\left(25-57T\right)}{3}$$

$$p\neq 0\text{ and }T\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24Tp.

$$400p-12R=912Tp$$

Subtract 400p from both sides.

$$-12R=912Tp-400p$$

Divide both sides by -12.

$$\frac{-12R}{-12}=\frac{16p\left(57T-25\right)}{-12}$$

Dividing by -12 undoes the multiplication by -12.

$$R=\frac{16p\left(57T-25\right)}{-12}$$

Divide 16p\left(-25+57T\right) by -12.

$$R=-76Tp+\frac{100p}{3}$$

Solve for T

$$T=-\frac{R}{76p}+\frac{25}{57}$$

$$p\neq \frac{3R}{100}\text{ and }p\neq 0$$

Steps for Solving Linear Equation

Variable T cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 24Tp.

$$400p-12R=912Tp$$

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

$$912Tp=400p-12R$$

The equation is in standard form.

$$912pT=400p-12R$$

Divide both sides by 912p.

$$\frac{912pT}{912p}=\frac{400p-12R}{912p}$$

Dividing by 912p undoes the multiplication by 912p.

$$T=\frac{400p-12R}{912p}$$

Divide 400p-12R by 912p.

$$T=-\frac{R}{76p}+\frac{25}{57}$$

Variable T cannot be equal to 0.

$$T=-\frac{R}{76p}+\frac{25}{57}\text{, }T\neq 0$$