Solve 6xy+4x-9y-7=2233

$$6xy+4x-9y-7=2233$$

Solve for x

$$x=\frac{9y+2240}{2\left(3y+2\right)}$$

$$y\neq -\frac{2}{3}$$

Steps for Solving Linear Equation

Add 9y to both sides.

$$6xy+4x-7=2233+9y$$

Add 7 to both sides.

$$6xy+4x=2233+9y+7$$

Add 2233 and 7 to get 2240.

$$6xy+4x=2240+9y$$

Combine all terms containing x.

$$\left(6y+4\right)x=2240+9y$$

The equation is in standard form.

$$\left(6y+4\right)x=9y+2240$$

Divide both sides by 6y+4.

$$\frac{\left(6y+4\right)x}{6y+4}=\frac{9y+2240}{6y+4}$$

Dividing by 6y+4 undoes the multiplication by 6y+4.

$$x=\frac{9y+2240}{6y+4}$$

Divide 2240+9y by 6y+4.

$$x=\frac{9y+2240}{2\left(3y+2\right)}$$

Solve for y

$$y=-\frac{4\left(x-560\right)}{3\left(2x-3\right)}$$

$$x\neq \frac{3}{2}$$

Steps for Solving Linear Equation

Subtract 4x from both sides.

$$6xy-9y-7=2233-4x$$

Add 7 to both sides.

$$6xy-9y=2233-4x+7$$

Add 2233 and 7 to get 2240.

$$6xy-9y=2240-4x$$

Combine all terms containing y.

$$\left(6x-9\right)y=2240-4x$$

Divide both sides by 6x-9.

$$\frac{\left(6x-9\right)y}{6x-9}=\frac{2240-4x}{6x-9}$$

Dividing by 6x-9 undoes the multiplication by 6x-9.

$$y=\frac{2240-4x}{6x-9}$$

Divide 2240-4x by 6x-9.

$$y=\frac{4\left(560-x\right)}{3\left(2x-3\right)}$$