Solve {l}{2m=10}{-3m+50n=10}

$$\left\{ \begin{array} { l } { 2 m = 10 } \\ { - 3 m + 50 n = 10 } \end{array} \right.$$

Solve for m, n

$$m=5$$

$$n=\frac{1}{2}=0.5$$

Solution Steps

Consider the first equation. Divide both sides by 2.

$$m=\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$m=5$$

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

$$-3\times 5+50n=10$$

Multiply -3 and 5 to get -15.

$$-15+50n=10$$

Add 15 to both sides.

$$50n=10+15$$

Add 10 and 15 to get 25.

$$50n=25$$

Divide both sides by 50.

$$n=\frac{25}{50}$$

Reduce the fraction \frac{25}{50} to lowest terms by extracting and canceling out 25.

$$n=\frac{1}{2}$$

The system is now solved.

$$m=5 n=\frac{1}{2}$$