Solve 45+3x=6y*6-3divz

$$45+3x=6y \times 6-3 \div z$$

Solve for x

$$x=12y-15-\frac{1}{z}$$

$$z\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by z.

$$z\times 45+3xz=6y\times 6z-3$$

Multiply 6 and 6 to get 36.

$$z\times 45+3xz=36yz-3$$

Subtract z\times 45 from both sides.

$$3xz=36yz-3-z\times 45$$

Multiply -1 and 45 to get -45.

$$3xz=36yz-3-45z$$

The equation is in standard form.

$$3zx=36yz-45z-3$$

Divide both sides by 3z.

$$\frac{3zx}{3z}=\frac{36yz-45z-3}{3z}$$

Dividing by 3z undoes the multiplication by 3z.

$$x=\frac{36yz-45z-3}{3z}$$

Divide 36yz-3-45z by 3z.

$$x=12y-15-\frac{1}{z}$$

Solve for y

$$y=\frac{x}{12}+\frac{5}{4}+\frac{1}{12z}$$

$$z\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by z.

$$z\times 45+3xz=6y\times 6z-3$$

Multiply 6 and 6 to get 36.

$$z\times 45+3xz=36yz-3$$

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

$$36yz-3=z\times 45+3xz$$

Add 3 to both sides.

$$36yz=z\times 45+3xz+3$$

The equation is in standard form.

$$36zy=3xz+45z+3$$

Divide both sides by 36z.

$$\frac{36zy}{36z}=\frac{3xz+45z+3}{36z}$$

Dividing by 36z undoes the multiplication by 36z.

$$y=\frac{3xz+45z+3}{36z}$$

Divide 3xz+45z+3 by 36z.

$$y=\frac{x}{12}+\frac{5}{4}+\frac{1}{12z}$$