Solve 5.2M+40C+0.5S+0W=3000

$$5.2M+40C+0.5S+0W=3000$$

Solve for C

$$C=-\frac{S}{80}-\frac{13M}{100}+75$$

Steps for Solving Linear Equation

Anything times zero gives zero.

$$5.2M+40C+0.5S+0=3000$$

Anything plus zero gives itself.

$$5.2M+40C+0.5S=3000$$

Subtract 5.2M from both sides.

$$40C+0.5S=3000-5.2M$$

Subtract 0.5S from both sides.

$$40C=3000-5.2M-0.5S$$

The equation is in standard form.

$$40C=-\frac{S}{2}-\frac{26M}{5}+3000$$

Divide both sides by 40.

$$\frac{40C}{40}=\frac{-\frac{S}{2}-\frac{26M}{5}+3000}{40}$$

Dividing by 40 undoes the multiplication by 40.

$$C=\frac{-\frac{S}{2}-\frac{26M}{5}+3000}{40}$$

Divide 3000-\frac{26M}{5}-\frac{S}{2} by 40.

$$C=-\frac{S}{80}-\frac{13M}{100}+75$$

Solve for M

$$M=-\frac{5S}{52}-\frac{100C}{13}+\frac{7500}{13}$$

Steps for Solving Linear Equation

Anything times zero gives zero.

$$5.2M+40C+0.5S+0=3000$$

Anything plus zero gives itself.

$$5.2M+40C+0.5S=3000$$

Subtract 40C from both sides.

$$5.2M+0.5S=3000-40C$$

Subtract 0.5S from both sides.

$$5.2M=3000-40C-0.5S$$

The equation is in standard form.

$$5.2M=-\frac{S}{2}-40C+3000$$

Divide both sides of the equation by 5.2, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{5.2M}{5.2}=\frac{-\frac{S}{2}-40C+3000}{5.2}$$

Dividing by 5.2 undoes the multiplication by 5.2.

$$M=\frac{-\frac{S}{2}-40C+3000}{5.2}$$

Divide 3000-40C-\frac{S}{2} by 5.2 by multiplying 3000-40C-\frac{S}{2} by the reciprocal of 5.2.

$$M=-\frac{5S}{52}-\frac{100C}{13}+\frac{7500}{13}$$