Solve {l}{A=x-5}{B=x-15}{C=A*100/5}{D=B*100/15}{x=225}

$$\left. \begin{array} { l } { A = x - 5 } \\ { B = x - 15 } \\ { C = A \times \frac { 100 } { 5 } } \\ { D = B \times 100 / 15 } \\ { x = 225 } \end{array} \right.$$

Solve for A, x, B, C, D

$$x=225$$

$$A=220$$

$$B=210$$

$$C=4400$$

$$D=1400$$

Solution Steps

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

$$A=225-5$$

Subtract 5 from 225 to get 220.

$$A=220$$

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

$$B=225-15$$

Subtract 15 from 225 to get 210.

$$B=210$$

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

$$C=220\times \frac{100}{5}$$

Divide 100 by 5 to get 20.

$$C=220\times 20$$

Multiply 220 and 20 to get 4400.

$$C=4400$$

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

$$D=210\times \frac{100}{15}$$

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

$$D=210\times \frac{20}{3}$$

Multiply 210 and \frac{20}{3} to get 1400.

$$D=1400$$

The system is now solved.

$$A=220 x=225 B=210 C=4400 D=1400$$