Solve 12x*45y+78z=124

$$12x \times 45y+78z=124$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{39z-62}{270y}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&z=\frac{62}{39}\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 12 and 45 to get 540.

$$540xy+78z=124$$

Subtract 78z from both sides.

$$540xy=124-78z$$

The equation is in standard form.

$$540yx=124-78z$$

Divide both sides by 540y.

$$\frac{540yx}{540y}=\frac{124-78z}{540y}$$

Dividing by 540y undoes the multiplication by 540y.

$$x=\frac{124-78z}{540y}$$

Divide 124-78z by 540y.

$$x=\frac{62-39z}{270y}$$

Solve for y (complex solution)

$$\left\{\begin{matrix}y=-\frac{39z-62}{270x}\text{, }&x\neq 0\\y\in \mathrm{C}\text{, }&z=\frac{62}{39}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 12 and 45 to get 540.

$$540xy+78z=124$$

Subtract 78z from both sides.

$$540xy=124-78z$$

Divide both sides by 540x.

$$\frac{540xy}{540x}=\frac{124-78z}{540x}$$

Dividing by 540x undoes the multiplication by 540x.

$$y=\frac{124-78z}{540x}$$

Divide 124-78z by 540x.

$$y=\frac{62-39z}{270x}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{39z-62}{270y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&z=\frac{62}{39}\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 12 and 45 to get 540.

$$540xy+78z=124$$

Subtract 78z from both sides.

$$540xy=124-78z$$

The equation is in standard form.

$$540yx=124-78z$$

Divide both sides by 540y.

$$\frac{540yx}{540y}=\frac{124-78z}{540y}$$

Dividing by 540y undoes the multiplication by 540y.

$$x=\frac{124-78z}{540y}$$

Divide 124-78z by 540y.

$$x=\frac{62-39z}{270y}$$

Solve for y

$$\left\{\begin{matrix}y=-\frac{39z-62}{270x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&z=\frac{62}{39}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 12 and 45 to get 540.

$$540xy+78z=124$$

Subtract 78z from both sides.

$$540xy=124-78z$$

Divide both sides by 540x.

$$\frac{540xy}{540x}=\frac{124-78z}{540x}$$

Dividing by 540x undoes the multiplication by 540x.

$$y=\frac{124-78z}{540x}$$

Divide 124-78z by 540x.

$$y=\frac{62-39z}{270x}$$