Solve (0.4x+0.1y=0.4

$$( 0.4 x + 0.1 y = 0.4$$

Solve for x

$$x=-\frac{y}{4}+1$$

Steps for Solving Linear Equation

Subtract 0.1y from both sides.

$$0.4x=0.4-0.1y$$

The equation is in standard form.

$$0.4x=-\frac{y}{10}+0.4$$

Divide both sides of the equation by 0.4, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.4x}{0.4}=\frac{-\frac{y}{10}+0.4}{0.4}$$

Dividing by 0.4 undoes the multiplication by 0.4.

$$x=\frac{-\frac{y}{10}+0.4}{0.4}$$

Divide 0.4-\frac{y}{10} by 0.4 by multiplying 0.4-\frac{y}{10} by the reciprocal of 0.4.

$$x=-\frac{y}{4}+1$$

Solve for y

$$y=4-4x$$

Steps for Solving Linear Equation

Subtract 0.4x from both sides.

$$0.1y=0.4-0.4x$$

The equation is in standard form.

$$0.1y=\frac{2-2x}{5}$$

Multiply both sides by 10.

$$\frac{0.1y}{0.1}=\frac{2-2x}{0.1\times 5}$$

Dividing by 0.1 undoes the multiplication by 0.1.

$$y=\frac{2-2x}{0.1\times 5}$$

Divide \frac{2-2x}{5} by 0.1 by multiplying \frac{2-2x}{5} by the reciprocal of 0.1.

$$y=4-4x$$