Solve 2.84x+3.49y=10000

$$2.84x+3.49y=10000$$

Solve for x

$$x=-\frac{349y}{284}+\frac{250000}{71}$$

Steps for Solving Linear Equation

Subtract 3.49y from both sides.

$$2.84x=10000-3.49y$$

The equation is in standard form.

$$2.84x=-\frac{349y}{100}+10000$$

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

$$\frac{2.84x}{2.84}=\frac{-\frac{349y}{100}+10000}{2.84}$$

Dividing by 2.84 undoes the multiplication by 2.84.

$$x=\frac{-\frac{349y}{100}+10000}{2.84}$$

Divide 10000-\frac{349y}{100} by 2.84 by multiplying 10000-\frac{349y}{100} by the reciprocal of 2.84.

$$x=-\frac{349y}{284}+\frac{250000}{71}$$

Solve for y

$$y=\frac{1000000-284x}{349}$$

Steps for Solving Linear Equation

Subtract 2.84x from both sides.

$$3.49y=10000-2.84x$$

The equation is in standard form.

$$3.49y=-\frac{71x}{25}+10000$$

Divide both sides of the equation by 3.49, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{3.49y}{3.49}=\frac{-\frac{71x}{25}+10000}{3.49}$$

Dividing by 3.49 undoes the multiplication by 3.49.

$$y=\frac{-\frac{71x}{25}+10000}{3.49}$$

Divide 10000-\frac{71x}{25} by 3.49 by multiplying 10000-\frac{71x}{25} by the reciprocal of 3.49.

$$y=\frac{1000000-284x}{349}$$