Solve {l}{A=B+C}{D=E+A}{A=7}{C=2}{D=10}

$$\left. \begin{array} { l } { A = B + C } \\ { D = E + A } \\ { A = 7 } \\ { C = 2 } \\ { D = 10 } \end{array} \right.$$

Solve for A, B, C, D, E

$$A=7$$

$$B=5$$

$$C=2$$

$$D=10$$

$$E=3$$

Solution Steps

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

$$7=B+2$$

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

$$B+2=7$$

Subtract 2 from both sides.

$$B=7-2$$

Subtract 2 from 7 to get 5.

$$B=5$$

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

$$10=E+7$$

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

$$E+7=10$$

Subtract 7 from both sides.

$$E=10-7$$

Subtract 7 from 10 to get 3.

$$E=3$$

The system is now solved.

$$A=7 B=5 C=2 D=10 E=3$$