Solve {l}{-2m+3=4m-5}{n=m}{text{Solvefor}otext{where}}{o=n}

$$\left. \begin{array} { l } { -2 m + 3 = 4 m - 5 }\\ { n = m }\\ { \text{Solve for } o \text{ where} } \\ { o = n } \end{array} \right.$$

Solve for m, n, o

$$o = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Solution Steps

Consider the first equation. Subtract 4m from both sides.

$$-2m+3-4m=-5$$

Combine -2m and -4m to get -6m.

$$-6m+3=-5$$

Subtract 3 from both sides.

$$-6m=-5-3$$

Subtract 3 from -5 to get -8.

$$-6m=-8$$

Divide both sides by -6.

$$m=\frac{-8}{-6}$$

Reduce the fraction \frac{-8}{-6} to lowest terms by extracting and canceling out -2.

$$m=\frac{4}{3}$$

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

$$n=\frac{4}{3}$$

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

$$o=\frac{4}{3}$$

The system is now solved.

$$m=\frac{4}{3} n=\frac{4}{3} o=\frac{4}{3}$$