Solve P(1.3)quadr:2x-3y+1=0

$$P ( 1.3 ) \quad r : 2 x - 3 y + 1 = 0$$

Solve for P

$$\left\{\begin{matrix}P=-\frac{20-60y}{13rx}\text{, }&x\neq 0\text{ and }r\neq 0\\P\in \mathrm{R}\text{, }&\left(r=0\text{ or }x=0\right)\text{ and }y=\frac{1}{3}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$P\times 1.3rx-6y+2=0$$

Add 6y to both sides. Anything plus zero gives itself.

$$P\times 1.3rx+2=6y$$

Subtract 2 from both sides.

$$P\times 1.3rx=6y-2$$

The equation is in standard form.

$$\frac{13rx}{10}P=6y-2$$

Divide both sides by 1.3rx.

$$\frac{10\times \frac{13rx}{10}P}{13rx}=\frac{10\left(6y-2\right)}{13rx}$$

Dividing by 1.3rx undoes the multiplication by 1.3rx.

$$P=\frac{10\left(6y-2\right)}{13rx}$$

Divide 6y-2 by 1.3rx.

$$P=\frac{20\left(3y-1\right)}{13rx}$$

Solve for r

$$\left\{\begin{matrix}r=-\frac{20-60y}{13Px}\text{, }&x\neq 0\text{ and }P\neq 0\\r\in \mathrm{R}\text{, }&\left(P=0\text{ or }x=0\right)\text{ and }y=\frac{1}{3}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$P\times 1.3rx-6y+2=0$$

Add 6y to both sides. Anything plus zero gives itself.

$$P\times 1.3rx+2=6y$$

Subtract 2 from both sides.

$$P\times 1.3rx=6y-2$$

The equation is in standard form.

$$\frac{13Px}{10}r=6y-2$$

Divide both sides by 1.3Px.

$$\frac{10\times \frac{13Px}{10}r}{13Px}=\frac{10\left(6y-2\right)}{13Px}$$

Dividing by 1.3Px undoes the multiplication by 1.3Px.

$$r=\frac{10\left(6y-2\right)}{13Px}$$

Divide 6y-2 by 1.3Px.

$$r=\frac{20\left(3y-1\right)}{13Px}$$