Solve 6x+4xy=7

$$6 x + 4 x y = 7$$

Solve for x

$$x=\frac{7}{2\left(2y+3\right)}$$

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

Steps for Solving Linear Equation

Combine all terms containing x.

$$\left(6+4y\right)x=7$$

The equation is in standard form.

$$\left(4y+6\right)x=7$$

Divide both sides by 6+4y.

$$\frac{\left(4y+6\right)x}{4y+6}=\frac{7}{4y+6}$$

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

$$x=\frac{7}{4y+6}$$

Divide 7 by 6+4y.

$$x=\frac{7}{2\left(2y+3\right)}$$

Solve for y

$$y=-\frac{3}{2}+\frac{7}{4x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 6x from both sides.

$$4xy=7-6x$$

Divide both sides by 4x.

$$\frac{4xy}{4x}=\frac{7-6x}{4x}$$

Dividing by 4x undoes the multiplication by 4x.

$$y=\frac{7-6x}{4x}$$

Divide 7-6x by 4x.

$$y=-\frac{3}{2}+\frac{7}{4x}$$