Solve 0.4x+0.5y=2.5

$$0.4 x + 0.5 y = 2.5$$

Solve for x

$$x=\frac{25-5y}{4}$$

Steps for Solving Linear Equation

Subtract 0.5y from both sides.

$$0.4x=2.5-0.5y$$

The equation is in standard form.

$$0.4x=\frac{5-y}{2}$$

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

$$\frac{0.4x}{0.4}=\frac{5-y}{0.4\times 2}$$

Dividing by 0.4 undoes the multiplication by 0.4.

$$x=\frac{5-y}{0.4\times 2}$$

Divide \frac{5-y}{2} by 0.4 by multiplying \frac{5-y}{2} by the reciprocal of 0.4.

$$x=\frac{25-5y}{4}$$

Solve for y

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

Steps for Solving Linear Equation

Subtract 0.4x from both sides.

$$0.5y=2.5-0.4x$$

The equation is in standard form.

$$0.5y=-\frac{2x}{5}+2.5$$

Multiply both sides by 2.

$$\frac{0.5y}{0.5}=\frac{-\frac{2x}{5}+2.5}{0.5}$$

Dividing by 0.5 undoes the multiplication by 0.5.

$$y=\frac{-\frac{2x}{5}+2.5}{0.5}$$

Divide 2.5-\frac{2x}{5} by 0.5 by multiplying 2.5-\frac{2x}{5} by the reciprocal of 0.5.

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