Solve {l}{A=x-5}{B=x-15}{C=A*100/5}{D=B*100/15}{x=22.5}

$$\left. \begin{array} { l } { A = x - 5 } \\ { B = x - 15 } \\ { C = A * \frac { 100 } { 5 } } \\ { D = B * \frac { 100 } { 15 } } \\ { x = 22.5 } \end{array} \right.$$

Solve for A, x, B, C, D

$$x=22.5$$

$$A=17.5$$

$$B=7.5$$

$$C=350$$

$$D=50$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$A=22.5-5$$

Subtract 5 from 22.5 to get 17.5.

$$A=17.5$$

Consider the second equation. Insert the known values of variables into the equation.

$$B=22.5-15$$

Subtract 15 from 22.5 to get 7.5.

$$B=7.5$$

Consider the third equation. Insert the known values of variables into the equation.

$$C=17.5\times \frac{100}{5}$$

Divide 100 by 5 to get 20.

$$C=17.5\times 20$$

Multiply 17.5 and 20 to get 350.

$$C=350$$

Consider the fourth equation. Insert the known values of variables into the equation.

$$D=7.5\times \frac{100}{15}$$

Reduce the fraction \frac{100}{15} to lowest terms by extracting and canceling out 5.

$$D=7.5\times \frac{20}{3}$$

Multiply 7.5 and \frac{20}{3} to get 50.

$$D=50$$

The system is now solved.

$$A=17.5 x=22.5 B=7.5 C=350 D=50$$