Solve 11/2km-560m=m

$$1 \frac { 1 } { 2 } km - 560 m = m$$

Solve for k

$$\left\{\begin{matrix}\\k=374\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}km-560m=m$$

Add 2 and 1 to get 3.

$$\frac{3}{2}km-560m=m$$

Add 560m to both sides.

$$\frac{3}{2}km=m+560m$$

Combine m and 560m to get 561m.

$$\frac{3}{2}km=561m$$

The equation is in standard form.

$$\frac{3m}{2}k=561m$$

Divide both sides by \frac{3}{2}m.

$$\frac{2\times \frac{3m}{2}k}{3m}=\frac{2\times 561m}{3m}$$

Dividing by \frac{3}{2}m undoes the multiplication by \frac{3}{2}m.

$$k=\frac{2\times 561m}{3m}$$

Divide 561m by \frac{3}{2}m.

$$k=374$$

Solve for m

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&k=374\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}km-560m=m$$

Add 2 and 1 to get 3.

$$\frac{3}{2}km-560m=m$$

Subtract m from both sides.

$$\frac{3}{2}km-560m-m=0$$

Combine -560m and -m to get -561m.

$$\frac{3}{2}km-561m=0$$

Combine all terms containing m.

$$\left(\frac{3}{2}k-561\right)m=0$$

The equation is in standard form.

$$\left(\frac{3k}{2}-561\right)m=0$$

Divide 0 by \frac{3}{2}k-561.

$$m=0$$