Solve 1/RT=1/430*10^3+1/2.5*10^6

$$\frac { 1 } { R T } = \frac { 1 } { 430 \times 10 ^ { 3 } } + \frac { 1 } { 2.5 \times 10 ^ { 6 } }$$

Solve for R

$$R=\frac{107500000}{293T}$$

$$T\neq 0$$

Steps for Solving Linear Equation

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

$$1=\frac{1}{430000}RT+\frac{1}{2500000}RT$$

Combine \frac{1}{430000}RT and \frac{1}{2500000}RT to get \frac{293}{107500000}RT.

$$1=\frac{293}{107500000}RT$$

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

$$\frac{293}{107500000}RT=1$$

The equation is in standard form.

$$\frac{293T}{107500000}R=1$$

Divide both sides by \frac{293}{107500000}T.

$$\frac{107500000\times \frac{293T}{107500000}R}{293T}=\frac{107500000}{293T}$$

Dividing by \frac{293}{107500000}T undoes the multiplication by \frac{293}{107500000}T.

$$R=\frac{107500000}{293T}$$

Variable R cannot be equal to 0.

$$R=\frac{107500000}{293T}\text{, }R\neq 0$$

Solve for T

$$T=\frac{107500000}{293R}$$

$$R\neq 0$$

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 RT.

$$1=\frac{1}{430000}RT+\frac{1}{2500000}RT$$

Combine \frac{1}{430000}RT and \frac{1}{2500000}RT to get \frac{293}{107500000}RT.

$$1=\frac{293}{107500000}RT$$

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

$$\frac{293}{107500000}RT=1$$

The equation is in standard form.

$$\frac{293R}{107500000}T=1$$

Divide both sides by \frac{293}{107500000}R.

$$\frac{107500000\times \frac{293R}{107500000}T}{293R}=\frac{107500000}{293R}$$

Dividing by \frac{293}{107500000}R undoes the multiplication by \frac{293}{107500000}R.

$$T=\frac{107500000}{293R}$$

Variable T cannot be equal to 0.

$$T=\frac{107500000}{293R}\text{, }T\neq 0$$