Solve 13.52x+13.83y=13.78

$$13.52x+13.83y=13.78$$

Solve for x

$$x=-\frac{1383y}{1352}+\frac{53}{52}$$

Steps for Solving Linear Equation

Subtract 13.83y from both sides.

$$13.52x=13.78-13.83y$$

The equation is in standard form.

$$13.52x=-\frac{1383y}{100}+13.78$$

Divide both sides of the equation by 13.52, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{13.52x}{13.52}=\frac{-\frac{1383y}{100}+13.78}{13.52}$$

Dividing by 13.52 undoes the multiplication by 13.52.

$$x=\frac{-\frac{1383y}{100}+13.78}{13.52}$$

Divide 13.78-\frac{1383y}{100} by 13.52 by multiplying 13.78-\frac{1383y}{100} by the reciprocal of 13.52.

$$x=-\frac{1383y}{1352}+\frac{53}{52}$$

Solve for y

$$y=\frac{1378-1352x}{1383}$$

Steps for Solving Linear Equation

Subtract 13.52x from both sides.

$$13.83y=13.78-13.52x$$

The equation is in standard form.

$$13.83y=-\frac{338x}{25}+13.78$$

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

$$\frac{13.83y}{13.83}=\frac{-\frac{338x}{25}+13.78}{13.83}$$

Dividing by 13.83 undoes the multiplication by 13.83.

$$y=\frac{-\frac{338x}{25}+13.78}{13.83}$$

Divide 13.78-\frac{338x}{25} by 13.83 by multiplying 13.78-\frac{338x}{25} by the reciprocal of 13.83.

$$y=\frac{1378-1352x}{1383}$$