Solve 13.53x+13.83y=13.78

$$13.53x+13.83y = 13.78$$

Solve for x

$$x=-\frac{461y}{451}+\frac{1378}{1353}$$

Steps for Solving Linear Equation

Subtract 13.83y from both sides.

$$13.53x=13.78-13.83y$$

The equation is in standard form.

$$13.53x=-\frac{1383y}{100}+13.78$$

Divide both sides of the equation by 13.53, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{13.53x}{13.53}=\frac{-\frac{1383y}{100}+13.78}{13.53}$$

Dividing by 13.53 undoes the multiplication by 13.53.

$$x=\frac{-\frac{1383y}{100}+13.78}{13.53}$$

Divide 13.78-\frac{1383y}{100} by 13.53 by multiplying 13.78-\frac{1383y}{100} by the reciprocal of 13.53.

$$x=-\frac{461y}{451}+\frac{1378}{1353}$$

Solve for y

$$y=-\frac{451x}{461}+\frac{1378}{1383}$$

Steps for Solving Linear Equation

Subtract 13.53x from both sides.

$$13.83y=13.78-13.53x$$

The equation is in standard form.

$$13.83y=-\frac{1353x}{100}+13.78$$

Divide both sides of the equation by 13.83, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{13.83y}{13.83}=\frac{-\frac{1353x}{100}+13.78}{13.83}$$

Dividing by 13.83 undoes the multiplication by 13.83.

$$y=\frac{-\frac{1353x}{100}+13.78}{13.83}$$

Divide 13.78-\frac{1353x}{100} by 13.83 by multiplying 13.78-\frac{1353x}{100} by the reciprocal of 13.83.

$$y=-\frac{451x}{461}+\frac{1378}{1383}$$