Solve y+4=10/7(x+3)*operatorname{Pe}

$$y + 4 = \frac { 10 } { 7 } ( x + 3 ) \cdot \operatorname { Pe }$$

Solve for P (complex solution)

$$\left\{\begin{matrix}P=\frac{7\left(y+4\right)}{10e\left(x+3\right)}\text{, }&x\neq -3\\P\in \mathrm{C}\text{, }&y=-4\text{ and }x=-3\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{10}{7} by x+3.

$$y+4=\left(\frac{10}{7}x+\frac{30}{7}\right)Pe$$

Use the distributive property to multiply \frac{10}{7}x+\frac{30}{7} by P.

$$y+4=\left(\frac{10}{7}xP+\frac{30}{7}P\right)e$$

Use the distributive property to multiply \frac{10}{7}xP+\frac{30}{7}P by e.

$$y+4=\frac{10}{7}xPe+\frac{30}{7}Pe$$

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

$$\frac{10}{7}xPe+\frac{30}{7}Pe=y+4$$

Combine all terms containing P.

$$\left(\frac{10}{7}xe+\frac{30}{7}e\right)P=y+4$$

The equation is in standard form.

$$\frac{10ex+30e}{7}P=y+4$$

Divide both sides by \frac{10}{7}xe+\frac{30}{7}e.

$$\frac{7\times \frac{10ex+30e}{7}P}{10ex+30e}=\frac{7\left(y+4\right)}{10ex+30e}$$

Dividing by \frac{10}{7}xe+\frac{30}{7}e undoes the multiplication by \frac{10}{7}xe+\frac{30}{7}e.

$$P=\frac{7\left(y+4\right)}{10ex+30e}$$

Divide y+4 by \frac{10}{7}xe+\frac{30}{7}e.

$$P=\frac{7\left(y+4\right)}{10e\left(x+3\right)}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{-7y+30eP-28}{10eP}\text{, }&P\neq 0\\x\in \mathrm{C}\text{, }&y=-4\text{ and }P=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{10}{7} by x+3.

$$y+4=\left(\frac{10}{7}x+\frac{30}{7}\right)Pe$$

Use the distributive property to multiply \frac{10}{7}x+\frac{30}{7} by P.

$$y+4=\left(\frac{10}{7}xP+\frac{30}{7}P\right)e$$

Use the distributive property to multiply \frac{10}{7}xP+\frac{30}{7}P by e.

$$y+4=\frac{10}{7}xPe+\frac{30}{7}Pe$$

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

$$\frac{10}{7}xPe+\frac{30}{7}Pe=y+4$$

Subtract \frac{30}{7}Pe from both sides.

$$\frac{10}{7}xPe=y+4-\frac{30}{7}Pe$$

The equation is in standard form.

$$\frac{10eP}{7}x=-\frac{30eP}{7}+y+4$$

Divide both sides by \frac{10}{7}Pe.

$$\frac{7\times \frac{10eP}{7}x}{10eP}=\frac{7\left(-\frac{30eP}{7}+y+4\right)}{10eP}$$

Dividing by \frac{10}{7}Pe undoes the multiplication by \frac{10}{7}Pe.

$$x=\frac{7\left(-\frac{30eP}{7}+y+4\right)}{10eP}$$

Divide y-\frac{30eP}{7}+4 by \frac{10}{7}Pe.

$$x=\frac{7y-30eP+28}{10eP}$$

Solve for P

$$\left\{\begin{matrix}P=\frac{7\left(y+4\right)}{10e\left(x+3\right)}\text{, }&x\neq -3\\P\in \mathrm{R}\text{, }&y=-4\text{ and }x=-3\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{10}{7} by x+3.

$$y+4=\left(\frac{10}{7}x+\frac{30}{7}\right)Pe$$

Use the distributive property to multiply \frac{10}{7}x+\frac{30}{7} by P.

$$y+4=\left(\frac{10}{7}xP+\frac{30}{7}P\right)e$$

Use the distributive property to multiply \frac{10}{7}xP+\frac{30}{7}P by e.

$$y+4=\frac{10}{7}xPe+\frac{30}{7}Pe$$

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

$$\frac{10}{7}xPe+\frac{30}{7}Pe=y+4$$

Combine all terms containing P.

$$\left(\frac{10}{7}xe+\frac{30}{7}e\right)P=y+4$$

The equation is in standard form.

$$\frac{10ex+30e}{7}P=y+4$$

Divide both sides by \frac{10}{7}xe+\frac{30}{7}e.

$$\frac{7\times \frac{10ex+30e}{7}P}{10ex+30e}=\frac{7\left(y+4\right)}{10ex+30e}$$

Dividing by \frac{10}{7}xe+\frac{30}{7}e undoes the multiplication by \frac{10}{7}xe+\frac{30}{7}e.

$$P=\frac{7\left(y+4\right)}{10ex+30e}$$

Divide y+4 by \frac{10}{7}xe+\frac{30}{7}e.

$$P=\frac{7\left(y+4\right)}{10e\left(x+3\right)}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{-7y+30eP-28}{10eP}\text{, }&P\neq 0\\x\in \mathrm{R}\text{, }&y=-4\text{ and }P=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{10}{7} by x+3.

$$y+4=\left(\frac{10}{7}x+\frac{30}{7}\right)Pe$$

Use the distributive property to multiply \frac{10}{7}x+\frac{30}{7} by P.

$$y+4=\left(\frac{10}{7}xP+\frac{30}{7}P\right)e$$

Use the distributive property to multiply \frac{10}{7}xP+\frac{30}{7}P by e.

$$y+4=\frac{10}{7}xPe+\frac{30}{7}Pe$$

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

$$\frac{10}{7}xPe+\frac{30}{7}Pe=y+4$$

Subtract \frac{30}{7}Pe from both sides.

$$\frac{10}{7}xPe=y+4-\frac{30}{7}Pe$$

The equation is in standard form.

$$\frac{10eP}{7}x=-\frac{30eP}{7}+y+4$$

Divide both sides by \frac{10}{7}Pe.

$$\frac{7\times \frac{10eP}{7}x}{10eP}=\frac{7\left(-\frac{30eP}{7}+y+4\right)}{10eP}$$

Dividing by \frac{10}{7}Pe undoes the multiplication by \frac{10}{7}Pe.

$$x=\frac{7\left(-\frac{30eP}{7}+y+4\right)}{10eP}$$

Divide y-\frac{30eP}{7}+4 by \frac{10}{7}Pe.

$$x=\frac{7y-30eP+28}{10eP}$$