Solve 0.09x+0.04y=510

$$0.09x+0.04y = 510$$

Solve for x

$$x=-\frac{4y}{9}+\frac{17000}{3}$$

Steps for Solving Linear Equation

Subtract 0.04y from both sides.

$$0.09x=510-0.04y$$

The equation is in standard form.

$$0.09x=-\frac{y}{25}+510$$

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

$$\frac{0.09x}{0.09}=\frac{-\frac{y}{25}+510}{0.09}$$

Dividing by 0.09 undoes the multiplication by 0.09.

$$x=\frac{-\frac{y}{25}+510}{0.09}$$

Divide 510-\frac{y}{25} by 0.09 by multiplying 510-\frac{y}{25} by the reciprocal of 0.09.

$$x=-\frac{4y}{9}+\frac{17000}{3}$$

Solve for y

$$y=-\frac{9x}{4}+12750$$

Steps for Solving Linear Equation

Subtract 0.09x from both sides.

$$0.04y=510-0.09x$$

The equation is in standard form.

$$0.04y=-\frac{9x}{100}+510$$

Multiply both sides by 25.

$$\frac{0.04y}{0.04}=\frac{-\frac{9x}{100}+510}{0.04}$$

Dividing by 0.04 undoes the multiplication by 0.04.

$$y=\frac{-\frac{9x}{100}+510}{0.04}$$

Divide 510-\frac{9x}{100} by 0.04 by multiplying 510-\frac{9x}{100} by the reciprocal of 0.04.

$$y=-\frac{9x}{4}+12750$$