Solve 2.2=0.08x-0.4y

$$2.2 = 0.08 x - 0.4 y$$

Solve for x

$$x=5y+27.5$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$0.08x-0.4y=2.2$$

Add 0.4y to both sides.

$$0.08x=2.2+0.4y$$

The equation is in standard form.

$$0.08x=\frac{2y+11}{5}$$

Divide both sides of the equation by 0.08, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.08x}{0.08}=\frac{2y+11}{0.08\times 5}$$

Dividing by 0.08 undoes the multiplication by 0.08.

$$x=\frac{2y+11}{0.08\times 5}$$

Divide \frac{11+2y}{5} by 0.08 by multiplying \frac{11+2y}{5} by the reciprocal of 0.08.

$$x=5y+\frac{55}{2}$$

Solve for y

$$y=\frac{x}{5}-5.5$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$0.08x-0.4y=2.2$$

Subtract 0.08x from both sides.

$$-0.4y=2.2-0.08x$$

The equation is in standard form.

$$-0.4y=-\frac{2x}{25}+2.2$$

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

$$\frac{-0.4y}{-0.4}=\frac{-\frac{2x}{25}+2.2}{-0.4}$$

Dividing by -0.4 undoes the multiplication by -0.4.

$$y=\frac{-\frac{2x}{25}+2.2}{-0.4}$$

Divide 2.2-\frac{2x}{25} by -0.4 by multiplying 2.2-\frac{2x}{25} by the reciprocal of -0.4.

$$y=\frac{x}{5}-\frac{11}{2}$$