Solve 2.84x+3.99y=10000

$$2.84x+3.99y=10000$$

Solve for x

$$x=-\frac{399y}{284}+\frac{250000}{71}$$

Steps for Solving Linear Equation

Subtract 3.99y from both sides.

$$2.84x=10000-3.99y$$

The equation is in standard form.

$$2.84x=-\frac{399y}{100}+10000$$

Divide both sides of the equation by 2.84, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{2.84x}{2.84}=\frac{-\frac{399y}{100}+10000}{2.84}$$

Dividing by 2.84 undoes the multiplication by 2.84.

$$x=\frac{-\frac{399y}{100}+10000}{2.84}$$

Divide 10000-\frac{399y}{100} by 2.84 by multiplying 10000-\frac{399y}{100} by the reciprocal of 2.84.

$$x=-\frac{399y}{284}+\frac{250000}{71}$$

Solve for y

$$y=\frac{1000000-284x}{399}$$

Steps for Solving Linear Equation

Subtract 2.84x from both sides.

$$3.99y=10000-2.84x$$

The equation is in standard form.

$$3.99y=-\frac{71x}{25}+10000$$

Divide both sides of the equation by 3.99, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{3.99y}{3.99}=\frac{-\frac{71x}{25}+10000}{3.99}$$

Dividing by 3.99 undoes the multiplication by 3.99.

$$y=\frac{-\frac{71x}{25}+10000}{3.99}$$

Divide 10000-\frac{71x}{25} by 3.99 by multiplying 10000-\frac{71x}{25} by the reciprocal of 3.99.

$$y=\frac{1000000-284x}{399}$$