Solve 550x*1600y=left(x+yright)1050

$$550x \cdot 1600y = \left( x+y \right) 1050$$

Solve for x

$$x=\frac{21y}{17600y-21}$$

$$y\neq \frac{21}{17600}$$

Steps for Solving Linear Equation

Multiply 550 and 1600 to get 880000.

$$880000xy=\left(x+y\right)\times 1050$$

Use the distributive property to multiply x+y by 1050.

$$880000xy=1050x+1050y$$

Subtract 1050x from both sides.

$$880000xy-1050x=1050y$$

Combine all terms containing x.

$$\left(880000y-1050\right)x=1050y$$

Divide both sides by 880000y-1050.

$$\frac{\left(880000y-1050\right)x}{880000y-1050}=\frac{1050y}{880000y-1050}$$

Dividing by 880000y-1050 undoes the multiplication by 880000y-1050.

$$x=\frac{1050y}{880000y-1050}$$

Divide 1050y by 880000y-1050.

$$x=\frac{21y}{17600y-21}$$

Solve for y

$$y=\frac{21x}{17600x-21}$$

$$x\neq \frac{21}{17600}$$

Steps for Solving Linear Equation

Multiply 550 and 1600 to get 880000.

$$880000xy=\left(x+y\right)\times 1050$$

Use the distributive property to multiply x+y by 1050.

$$880000xy=1050x+1050y$$

Subtract 1050y from both sides.

$$880000xy-1050y=1050x$$

Combine all terms containing y.

$$\left(880000x-1050\right)y=1050x$$

Divide both sides by 880000x-1050.

$$\frac{\left(880000x-1050\right)y}{880000x-1050}=\frac{1050x}{880000x-1050}$$

Dividing by 880000x-1050 undoes the multiplication by 880000x-1050.

$$y=\frac{1050x}{880000x-1050}$$

Divide 1050x by 880000x-1050.

$$y=\frac{21x}{17600x-21}$$