Solve 6.65x+2.70y=806.1

$$6.65x+2.70y=806.1$$

Solve for x

$$x=\frac{16122-54y}{133}$$

Steps for Solving Linear Equation

Subtract 2.7y from both sides.

$$6.65x=806.1-2.7y$$

The equation is in standard form.

$$6.65x=\frac{8061-27y}{10}$$

Divide both sides of the equation by 6.65, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{6.65x}{6.65}=\frac{8061-27y}{6.65\times 10}$$

Dividing by 6.65 undoes the multiplication by 6.65.

$$x=\frac{8061-27y}{6.65\times 10}$$

Divide \frac{8061-27y}{10} by 6.65 by multiplying \frac{8061-27y}{10} by the reciprocal of 6.65.

$$x=\frac{16122-54y}{133}$$

Solve for y

$$y=-\frac{133x}{54}+\frac{2687}{9}$$

Steps for Solving Linear Equation

Subtract 6.65x from both sides.

$$2.7y=806.1-6.65x$$

The equation is in standard form.

$$2.7y=-\frac{133x}{20}+806.1$$

Divide both sides of the equation by 2.7, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{2.7y}{2.7}=\frac{-\frac{133x}{20}+806.1}{2.7}$$

Dividing by 2.7 undoes the multiplication by 2.7.

$$y=\frac{-\frac{133x}{20}+806.1}{2.7}$$

Divide 806.1-\frac{133x}{20} by 2.7 by multiplying 806.1-\frac{133x}{20} by the reciprocal of 2.7.

$$y=-\frac{133x}{54}+\frac{2687}{9}$$