Solve (b+a)m=r

$$( b + a ) m = r$$

Solve for a

$$\left\{\begin{matrix}a=-b+\frac{r}{m}\text{, }&m\neq 0\\a\in \mathrm{R}\text{, }&r=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply b+a by m.

$$bm+am=r$$

Subtract bm from both sides.

$$am=r-bm$$

The equation is in standard form.

$$ma=r-bm$$

Divide both sides by m.

$$\frac{ma}{m}=\frac{r-bm}{m}$$

Dividing by m undoes the multiplication by m.

$$a=\frac{r-bm}{m}$$

Divide r-bm by m.

$$a=-b+\frac{r}{m}$$

Solve for b

$$\left\{\begin{matrix}b=-a+\frac{r}{m}\text{, }&m\neq 0\\b\in \mathrm{R}\text{, }&r=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply b+a by m.

$$bm+am=r$$

Subtract am from both sides.

$$bm=r-am$$

The equation is in standard form.

$$mb=r-am$$

Divide both sides by m.

$$\frac{mb}{m}=\frac{r-am}{m}$$

Dividing by m undoes the multiplication by m.

$$b=\frac{r-am}{m}$$

Divide r-am by m.

$$b=-a+\frac{r}{m}$$