Solve 0.09x-0.5y=1.1

$$0.09 x - 0.5 y = 1.1$$

Solve for x

$$x=\frac{50y+110}{9}$$

Steps for Solving Linear Equation

Add 0.5y to both sides.

$$0.09x=1.1+0.5y$$

The equation is in standard form.

$$0.09x=\frac{y}{2}+1.1$$

Divide both sides of the equation by 0.09, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.09x}{0.09}=\frac{\frac{y}{2}+1.1}{0.09}$$

Dividing by 0.09 undoes the multiplication by 0.09.

$$x=\frac{\frac{y}{2}+1.1}{0.09}$$

Divide 1.1+\frac{y}{2} by 0.09 by multiplying 1.1+\frac{y}{2} by the reciprocal of 0.09.

$$x=\frac{50y+110}{9}$$

Solve for y

$$y=\frac{9x}{50}-2.2$$

Steps for Solving Linear Equation

Subtract 0.09x from both sides.

$$-0.5y=1.1-0.09x$$

The equation is in standard form.

$$-0.5y=-\frac{9x}{100}+1.1$$

Multiply both sides by -2.

$$\frac{-0.5y}{-0.5}=\frac{-\frac{9x}{100}+1.1}{-0.5}$$

Dividing by -0.5 undoes the multiplication by -0.5.

$$y=\frac{-\frac{9x}{100}+1.1}{-0.5}$$

Divide 1.1-\frac{9x}{100} by -0.5 by multiplying 1.1-\frac{9x}{100} by the reciprocal of -0.5.

$$y=\frac{9x}{50}-\frac{11}{5}$$