Solve {l}{3m=5m-12/5}{n=m}{text{Solvefor}otext{where}}{o=n}

$$\left. \begin{array} { l } { 3 m = 5 m - \frac{12}{5} }\\ { n = m }\\ { \text{Solve for } o \text{ where} } \\ { o = n } \end{array} \right.$$

Solve for m, n, o

$$o = \frac{6}{5} = 1\frac{1}{5} = 1.2$$

Solution Steps

Consider the first equation. Subtract 5m from both sides.

$$3m-5m=-\frac{12}{5}$$

Combine 3m and -5m to get -2m.

$$-2m=-\frac{12}{5}$$

Divide both sides by -2.

$$m=\frac{-\frac{12}{5}}{-2}$$

Express \frac{-\frac{12}{5}}{-2} as a single fraction.

$$m=\frac{-12}{5\left(-2\right)}$$

Multiply 5 and -2 to get -10.

$$m=\frac{-12}{-10}$$

Reduce the fraction \frac{-12}{-10} to lowest terms by extracting and canceling out -2.

$$m=\frac{6}{5}$$

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

$$n=\frac{6}{5}$$

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

$$o=\frac{6}{5}$$

The system is now solved.

$$m=\frac{6}{5} n=\frac{6}{5} o=\frac{6}{5}$$