Solve P_{R}=90,9*(1+x/100)=93,458

$$P _ { R } = 90,9 \times ( 1 + \frac { x } { 100 } ) = 93,458$$

Solve for P_R, x

$$x = \frac{9344900}{9} = 1038322\frac{2}{9} \approx 1038322.222222222$$

$$P_{R}=90$$

Solution Steps

Consider the second equation. Divide both sides by 9.

$$1+\frac{x}{100}=\frac{93458}{9}$$

Multiply both sides of the equation by 900, the least common multiple of 100,9.

$$900+9x=9345800$$

Subtract 900 from both sides.

$$9x=9345800-900$$

Subtract 900 from 9345800 to get 9344900.

$$9x=9344900$$

Divide both sides by 9.

$$x=\frac{9344900}{9}$$

The system is now solved.

$$P_{R}=90 x=\frac{9344900}{9}$$