Solve 9600+4200x+(9600+4200x)y=15100

$$9600+4200x+(9600+4200x)y=15100$$

Solve for x

$$x=-\frac{96y-55}{42\left(y+1\right)}$$

$$y\neq -1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9600+4200x by y.

$$9600+4200x+9600y+4200xy=15100$$

Subtract 9600 from both sides.

$$4200x+9600y+4200xy=15100-9600$$

Subtract 9600 from 15100 to get 5500.

$$4200x+9600y+4200xy=5500$$

Subtract 9600y from both sides.

$$4200x+4200xy=5500-9600y$$

Combine all terms containing x.

$$\left(4200+4200y\right)x=5500-9600y$$

The equation is in standard form.

$$\left(4200y+4200\right)x=5500-9600y$$

Divide both sides by 4200+4200y.

$$\frac{\left(4200y+4200\right)x}{4200y+4200}=\frac{5500-9600y}{4200y+4200}$$

Dividing by 4200+4200y undoes the multiplication by 4200+4200y.

$$x=\frac{5500-9600y}{4200y+4200}$$

Divide 5500-9600y by 4200+4200y.

$$x=\frac{55-96y}{42\left(y+1\right)}$$

Solve for y

$$y=-\frac{42x-55}{6\left(7x+16\right)}$$

$$x\neq -\frac{16}{7}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9600+4200x by y.

$$9600+4200x+9600y+4200xy=15100$$

Subtract 9600 from both sides.

$$4200x+9600y+4200xy=15100-9600$$

Subtract 9600 from 15100 to get 5500.

$$4200x+9600y+4200xy=5500$$

Subtract 4200x from both sides.

$$9600y+4200xy=5500-4200x$$

Combine all terms containing y.

$$\left(9600+4200x\right)y=5500-4200x$$

The equation is in standard form.

$$\left(4200x+9600\right)y=5500-4200x$$

Divide both sides by 9600+4200x.

$$\frac{\left(4200x+9600\right)y}{4200x+9600}=\frac{5500-4200x}{4200x+9600}$$

Dividing by 9600+4200x undoes the multiplication by 9600+4200x.

$$y=\frac{5500-4200x}{4200x+9600}$$

Divide 5500-4200x by 9600+4200x.

$$y=\frac{55-42x}{6\left(7x+16\right)}$$