Solve 2/R=1/25-1/50

$$\frac { 2 } { R } = \frac { 1 } { 25 } - \frac { 1 } { 50 }$$

Solve for R

$$R=100$$

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 50R, the least common multiple of R,25,50.

$$50\times 2=50R\times \frac{1}{25}+50R\left(-\frac{1}{50}\right)$$

Multiply 50 and 2 to get 100.

$$100=50R\times \frac{1}{25}+50R\left(-\frac{1}{50}\right)$$

Multiply 50 and \frac{1}{25} to get \frac{50}{25}.

$$100=\frac{50}{25}R+50R\left(-\frac{1}{50}\right)$$

Divide 50 by 25 to get 2.

$$100=2R+50R\left(-\frac{1}{50}\right)$$

Cancel out 50 and 50.

$$100=2R-R$$

Combine 2R and -R to get R.

$$100=R$$

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

$$R=100$$