Solve {l}{2x-5=16-x}{7m+13=3m+25}

$$\left. \begin{array} { l } { 2 x - 5 = 16 - x } \\ { 7 m + 13 = 3 m + 25 } \end{array} \right.$$

Solve for x, m

$$x=7$$

$$m=3$$

Solution Steps

Consider the first equation. Add x to both sides.

$$2x-5+x=16$$

Combine 2x and x to get 3x.

$$3x-5=16$$

Add 5 to both sides.

$$3x=16+5$$

Add 16 and 5 to get 21.

$$3x=21$$

Divide both sides by 3.

$$x=\frac{21}{3}$$

Divide 21 by 3 to get 7.

$$x=7$$

Consider the second equation. Subtract 3m from both sides.

$$7m+13-3m=25$$

Combine 7m and -3m to get 4m.

$$4m+13=25$$

Subtract 13 from both sides.

$$4m=25-13$$

Subtract 13 from 25 to get 12.

$$4m=12$$

Divide both sides by 4.

$$m=\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$m=3$$

The system is now solved.

$$x=7 m=3$$