Solve 600=(2x+4)(y-3)

$$600 = ( 2 x + 4 ) ( y - 3 )$$

Solve for x

$$x=-\frac{2\left(153-y\right)}{3-y}$$

$$y\neq 3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2x+4 by y-3.

$$600=2xy-6x+4y-12$$

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

$$2xy-6x+4y-12=600$$

Subtract 4y from both sides.

$$2xy-6x-12=600-4y$$

Add 12 to both sides.

$$2xy-6x=600-4y+12$$

Add 600 and 12 to get 612.

$$2xy-6x=612-4y$$

Combine all terms containing x.

$$\left(2y-6\right)x=612-4y$$

Divide both sides by 2y-6.

$$\frac{\left(2y-6\right)x}{2y-6}=\frac{612-4y}{2y-6}$$

Dividing by 2y-6 undoes the multiplication by 2y-6.

$$x=\frac{612-4y}{2y-6}$$

Divide 612-4y by 2y-6.

$$x=\frac{2\left(153-y\right)}{y-3}$$

Solve for y

$$y=\frac{3\left(x+102\right)}{x+2}$$

$$x\neq -2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2x+4 by y-3.

$$600=2xy-6x+4y-12$$

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

$$2xy-6x+4y-12=600$$

Add 6x to both sides.

$$2xy+4y-12=600+6x$$

Add 12 to both sides.

$$2xy+4y=600+6x+12$$

Add 600 and 12 to get 612.

$$2xy+4y=612+6x$$

Combine all terms containing y.

$$\left(2x+4\right)y=612+6x$$

The equation is in standard form.

$$\left(2x+4\right)y=6x+612$$

Divide both sides by 2x+4.

$$\frac{\left(2x+4\right)y}{2x+4}=\frac{6x+612}{2x+4}$$

Dividing by 2x+4 undoes the multiplication by 2x+4.

$$y=\frac{6x+612}{2x+4}$$

Divide 612+6x by 2x+4.

$$y=\frac{3\left(x+102\right)}{x+2}$$