Solve aS=a1+(s-3)*3

$$a S = a 1 + ( s - 3 ) \cdot 3$$

Solve for S

$$\left\{\begin{matrix}S=-\frac{9-a_{1}-3s}{a}\text{, }&a\neq 0\\S\in \mathrm{R}\text{, }&a_{1}=9-3s\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply s-3 by 3.

$$aS=a_{1}+3s-9$$

The equation is in standard form.

$$aS=3s+a_{1}-9$$

Divide both sides by a.

$$\frac{aS}{a}=\frac{3s+a_{1}-9}{a}$$

Dividing by a undoes the multiplication by a.

$$S=\frac{3s+a_{1}-9}{a}$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{9-a_{1}-3s}{S}\text{, }&S\neq 0\\a\in \mathrm{R}\text{, }&a_{1}=9-3s\text{ and }S=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply s-3 by 3.

$$aS=a_{1}+3s-9$$

The equation is in standard form.

$$Sa=3s+a_{1}-9$$

Divide both sides by S.

$$\frac{Sa}{S}=\frac{3s+a_{1}-9}{S}$$

Dividing by S undoes the multiplication by S.

$$a=\frac{3s+a_{1}-9}{S}$$