Solve 4.7x+5.6y=4.0

$$4.7 x + 5.6 y = 4.0$$

Solve for x

$$x=\frac{40-56y}{47}$$

Steps for Solving Linear Equation

Subtract 5.6y from both sides.

$$4.7x=4-5.6y$$

The equation is in standard form.

$$4.7x=-\frac{28y}{5}+4$$

Divide both sides of the equation by 4.7, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{4.7x}{4.7}=\frac{-\frac{28y}{5}+4}{4.7}$$

Dividing by 4.7 undoes the multiplication by 4.7.

$$x=\frac{-\frac{28y}{5}+4}{4.7}$$

Divide 4-\frac{28y}{5} by 4.7 by multiplying 4-\frac{28y}{5} by the reciprocal of 4.7.

$$x=\frac{40-56y}{47}$$

Solve for y

$$y=-\frac{47x}{56}+\frac{5}{7}$$

Steps for Solving Linear Equation

Subtract 4.7x from both sides.

$$5.6y=4-4.7x$$

The equation is in standard form.

$$5.6y=-\frac{47x}{10}+4$$

Divide both sides of the equation by 5.6, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{5.6y}{5.6}=\frac{-\frac{47x}{10}+4}{5.6}$$

Dividing by 5.6 undoes the multiplication by 5.6.

$$y=\frac{-\frac{47x}{10}+4}{5.6}$$

Divide 4-\frac{47x}{10} by 5.6 by multiplying 4-\frac{47x}{10} by the reciprocal of 5.6.

$$y=-\frac{47x}{56}+\frac{5}{7}$$