Solve 1.6003/frac{1{sqrt{3}}}=BC+20/BC

$$\frac { 1.6003 } { \frac { 1 } { \sqrt { 3 } } } = \frac { B C + 20 } { B C }$$

Solve for B

$$B=\frac{200000\left(16003\sqrt{3}+10000\right)}{668288027C}$$

$$C\neq 0$$

Steps for Solving Linear Equation

Variable B cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by BC.

$$BC\times 3^{\frac{1}{2}}\times 1.6003=BC+20$$

Subtract BC from both sides.

$$BC\times 3^{\frac{1}{2}}\times 1.6003-BC=20$$

Reorder the terms.

$$1.6003\sqrt{3}BC-BC=20$$

Combine all terms containing B.

$$\left(1.6003\sqrt{3}C-C\right)B=20$$

The equation is in standard form.

$$\left(\frac{16003\sqrt{3}C}{10000}-C\right)B=20$$

Divide both sides by 1.6003\sqrt{3}C-C.

$$\frac{\left(\frac{16003\sqrt{3}C}{10000}-C\right)B}{\frac{16003\sqrt{3}C}{10000}-C}=\frac{20}{\frac{16003\sqrt{3}C}{10000}-C}$$

Dividing by 1.6003\sqrt{3}C-C undoes the multiplication by 1.6003\sqrt{3}C-C.

$$B=\frac{20}{\frac{16003\sqrt{3}C}{10000}-C}$$

Divide 20 by 1.6003\sqrt{3}C-C.

$$B=\frac{200000\left(16003\sqrt{3}+10000\right)}{668288027C}$$

Variable B cannot be equal to 0.

$$B=\frac{200000\left(16003\sqrt{3}+10000\right)}{668288027C}\text{, }B\neq 0$$

Solve for C

$$C=\frac{200000\left(16003\sqrt{3}+10000\right)}{668288027B}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Variable C cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by BC.

$$BC\times 3^{\frac{1}{2}}\times 1.6003=BC+20$$

Subtract BC from both sides.

$$BC\times 3^{\frac{1}{2}}\times 1.6003-BC=20$$

Reorder the terms.

$$1.6003\sqrt{3}BC-BC=20$$

Combine all terms containing C.

$$\left(1.6003\sqrt{3}B-B\right)C=20$$

The equation is in standard form.

$$\left(\frac{16003\sqrt{3}B}{10000}-B\right)C=20$$

Divide both sides by 1.6003\sqrt{3}B-B.

$$\frac{\left(\frac{16003\sqrt{3}B}{10000}-B\right)C}{\frac{16003\sqrt{3}B}{10000}-B}=\frac{20}{\frac{16003\sqrt{3}B}{10000}-B}$$

Dividing by 1.6003\sqrt{3}B-B undoes the multiplication by 1.6003\sqrt{3}B-B.

$$C=\frac{20}{\frac{16003\sqrt{3}B}{10000}-B}$$

Divide 20 by 1.6003\sqrt{3}B-B.

$$C=\frac{200000\left(16003\sqrt{3}+10000\right)}{668288027B}$$

Variable C cannot be equal to 0.

$$C=\frac{200000\left(16003\sqrt{3}+10000\right)}{668288027B}\text{, }C\neq 0$$