Solve y=2.5ar

$$y = 2.5 ar$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{2y}{5r}\text{, }&r\neq 0\\a\in \mathrm{C}\text{, }&y=0\text{ and }r=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$2.5ar=y$$

The equation is in standard form.

$$\frac{5r}{2}a=y$$

Divide both sides by 2.5r.

$$\frac{2\times \frac{5r}{2}a}{5r}=\frac{2y}{5r}$$

Dividing by 2.5r undoes the multiplication by 2.5r.

$$a=\frac{2y}{5r}$$

Solve for r (complex solution)

$$\left\{\begin{matrix}r=\frac{2y}{5a}\text{, }&a\neq 0\\r\in \mathrm{C}\text{, }&y=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$2.5ar=y$$

The equation is in standard form.

$$\frac{5a}{2}r=y$$

Divide both sides by 2.5a.

$$\frac{2\times \frac{5a}{2}r}{5a}=\frac{2y}{5a}$$

Dividing by 2.5a undoes the multiplication by 2.5a.

$$r=\frac{2y}{5a}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{2y}{5r}\text{, }&r\neq 0\\a\in \mathrm{R}\text{, }&y=0\text{ and }r=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$2.5ar=y$$

The equation is in standard form.

$$\frac{5r}{2}a=y$$

Divide both sides by 2.5r.

$$\frac{2\times \frac{5r}{2}a}{5r}=\frac{2y}{5r}$$

Dividing by 2.5r undoes the multiplication by 2.5r.

$$a=\frac{2y}{5r}$$

Solve for r

$$\left\{\begin{matrix}r=\frac{2y}{5a}\text{, }&a\neq 0\\r\in \mathrm{R}\text{, }&y=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$2.5ar=y$$

The equation is in standard form.

$$\frac{5a}{2}r=y$$

Divide both sides by 2.5a.

$$\frac{2\times \frac{5a}{2}r}{5a}=\frac{2y}{5a}$$

Dividing by 2.5a undoes the multiplication by 2.5a.

$$r=\frac{2y}{5a}$$