Solve 50=(1+R)(10+35/R)

$$50 = ( 1 + R ) ( \frac { 10 + 35 } { R } )$$

Solve for R

$$R=9$$

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 R.

$$50R=\left(1+R\right)\left(10+35\right)$$

Add 10 and 35 to get 45.

$$50R=\left(1+R\right)\times 45$$

Use the distributive property to multiply 1+R by 45.

$$50R=45+45R$$

Subtract 45R from both sides.

$$50R-45R=45$$

Combine 50R and -45R to get 5R.

$$5R=45$$

Divide both sides by 5.

$$R=\frac{45}{5}$$

Divide 45 by 5 to get 9.

$$R=9$$