Solve {l}{2=1+n}{1/3m+4=5}

$$\left\{ \begin{array} { l } { 2 = 1 + n } \\ { \frac { 1 } { 3 } m + 4 = 5 } \end{array} \right.$$

Solve for n, m

$$n=1$$

$$m=3$$

Solution Steps

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

$$1+n=2$$

Subtract 1 from both sides.

$$n=2-1$$

Subtract 1 from 2 to get 1.

$$n=1$$

Consider the second equation. Subtract 4 from both sides.

$$\frac{1}{3}m=5-4$$

Subtract 4 from 5 to get 1.

$$\frac{1}{3}m=1$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$m=1\times 3$$

Multiply 1 and 3 to get 3.

$$m=3$$

The system is now solved.

$$n=1 m=3$$