Solve 31/4km+m=6.500m

$$3 \frac { 1 } { 4 } k m + m = 6.500 m$$

Solve for k (complex solution)

$$\left\{\begin{matrix}\\k=\frac{22}{13}\approx 1.692307692\text{, }&\text{unconditionally}\\k\in \mathrm{C}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$\left(3\times 4+1\right)km+4m=26m$$

Multiply 3 and 4 to get 12.

$$\left(12+1\right)km+4m=26m$$

Add 12 and 1 to get 13.

$$13km+4m=26m$$

Subtract 4m from both sides.

$$13km=26m-4m$$

Combine 26m and -4m to get 22m.

$$13km=22m$$

The equation is in standard form.

$$13mk=22m$$

Divide both sides by 13m.

$$\frac{13mk}{13m}=\frac{22m}{13m}$$

Dividing by 13m undoes the multiplication by 13m.

$$k=\frac{22m}{13m}$$

Divide 22m by 13m.

$$k=\frac{22}{13}$$

Solve for m (complex solution)

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{C}\text{, }&k=\frac{22}{13}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$\left(3\times 4+1\right)km+4m=26m$$

Multiply 3 and 4 to get 12.

$$\left(12+1\right)km+4m=26m$$

Add 12 and 1 to get 13.

$$13km+4m=26m$$

Subtract 26m from both sides.

$$13km+4m-26m=0$$

Combine 4m and -26m to get -22m.

$$13km-22m=0$$

Combine all terms containing m.

$$\left(13k-22\right)m=0$$

Divide 0 by -22+13k.

$$m=0$$

Solve for k

$$\left\{\begin{matrix}\\k=\frac{22}{13}\approx 1.692307692\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$\left(3\times 4+1\right)km+4m=26m$$

Multiply 3 and 4 to get 12.

$$\left(12+1\right)km+4m=26m$$

Add 12 and 1 to get 13.

$$13km+4m=26m$$

Subtract 4m from both sides.

$$13km=26m-4m$$

Combine 26m and -4m to get 22m.

$$13km=22m$$

The equation is in standard form.

$$13mk=22m$$

Divide both sides by 13m.

$$\frac{13mk}{13m}=\frac{22m}{13m}$$

Dividing by 13m undoes the multiplication by 13m.

$$k=\frac{22m}{13m}$$

Divide 22m by 13m.

$$k=\frac{22}{13}$$

Solve for m

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&k=\frac{22}{13}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$\left(3\times 4+1\right)km+4m=26m$$

Multiply 3 and 4 to get 12.

$$\left(12+1\right)km+4m=26m$$

Add 12 and 1 to get 13.

$$13km+4m=26m$$

Subtract 26m from both sides.

$$13km+4m-26m=0$$

Combine 4m and -26m to get -22m.

$$13km-22m=0$$

Combine all terms containing m.

$$\left(13k-22\right)m=0$$

Divide 0 by -22+13k.

$$m=0$$