Solve 1003/1002*1001^2=A/1002+B/1001+C/1001^2

$$\frac { 1003 } { 1002 \times 1001 ^ { 2 } } = \frac { A } { 1002 } + \frac { B } { 1001 } + \frac { C } { 1001 ^ { 2 } }$$

Solve for A

$$A=-\frac{1002B}{1001}-\frac{1002C}{1002001}+\frac{1003}{1002001}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1003002, the least common multiple of 1002,1001.

$$\frac{1}{1001}\times 1003=1001A+1002B+\frac{1002}{1001}C$$

Multiply \frac{1}{1001} and 1003 to get \frac{1003}{1001}.

$$\frac{1003}{1001}=1001A+1002B+\frac{1002}{1001}C$$

Swap sides so that all variable terms are on the left hand side.

$$1001A+1002B+\frac{1002}{1001}C=\frac{1003}{1001}$$

Subtract 1002B from both sides.

$$1001A+\frac{1002}{1001}C=\frac{1003}{1001}-1002B$$

Subtract \frac{1002}{1001}C from both sides.

$$1001A=\frac{1003}{1001}-1002B-\frac{1002}{1001}C$$

The equation is in standard form.

$$1001A=-\frac{1002C}{1001}-1002B+\frac{1003}{1001}$$

Divide both sides by 1001.

$$\frac{1001A}{1001}=\frac{-\frac{1002C}{1001}-1002B+\frac{1003}{1001}}{1001}$$

Dividing by 1001 undoes the multiplication by 1001.

$$A=\frac{-\frac{1002C}{1001}-1002B+\frac{1003}{1001}}{1001}$$

Divide \frac{1003}{1001}-1002B-\frac{1002C}{1001} by 1001.

$$A=-\frac{1002B}{1001}-\frac{1002C}{1002001}+\frac{1003}{1002001}$$

Solve for B

$$B=-\frac{C}{1001}-\frac{1001A}{1002}+\frac{1003}{1003002}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1003002, the least common multiple of 1002,1001.

$$\frac{1}{1001}\times 1003=1001A+1002B+\frac{1002}{1001}C$$

Multiply \frac{1}{1001} and 1003 to get \frac{1003}{1001}.

$$\frac{1003}{1001}=1001A+1002B+\frac{1002}{1001}C$$

Swap sides so that all variable terms are on the left hand side.

$$1001A+1002B+\frac{1002}{1001}C=\frac{1003}{1001}$$

Subtract 1001A from both sides.

$$1002B+\frac{1002}{1001}C=\frac{1003}{1001}-1001A$$

Subtract \frac{1002}{1001}C from both sides.

$$1002B=\frac{1003}{1001}-1001A-\frac{1002}{1001}C$$

The equation is in standard form.

$$1002B=-\frac{1002C}{1001}-1001A+\frac{1003}{1001}$$

Divide both sides by 1002.

$$\frac{1002B}{1002}=\frac{-\frac{1002C}{1001}-1001A+\frac{1003}{1001}}{1002}$$

Dividing by 1002 undoes the multiplication by 1002.

$$B=\frac{-\frac{1002C}{1001}-1001A+\frac{1003}{1001}}{1002}$$

Divide \frac{1003}{1001}-1001A-\frac{1002C}{1001} by 1002.

$$B=-\frac{C}{1001}-\frac{1001A}{1002}+\frac{1003}{1003002}$$