Solve {l}{4=5(t-2)}{0=16+4(m-6)}

$$\left. \begin{array} { l } { 4 = 5 ( t - 2 ) } \\ { 0 = 16 + 4 ( m - 6 ) } \end{array} \right.$$

Solve for t, m

$$t = \frac{14}{5} = 2\frac{4}{5} = 2.8$$

$$m=2$$

Solution Steps

Consider the first equation. Divide both sides by 5.

$$\frac{4}{5}=t-2$$

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

$$t-2=\frac{4}{5}$$

Add 2 to both sides.

$$t=\frac{4}{5}+2$$

Add \frac{4}{5} and 2 to get \frac{14}{5}.

$$t=\frac{14}{5}$$

Consider the second equation. Use the distributive property to multiply 4 by m-6.

$$0=16+4m-24$$

Subtract 24 from 16 to get -8.

$$0=-8+4m$$

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

$$-8+4m=0$$

Add 8 to both sides. Anything plus zero gives itself.

$$4m=8$$

Divide both sides by 4.

$$m=\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$m=2$$

The system is now solved.

$$t=\frac{14}{5} m=2$$