Solve frac{{F}_{1}}{{sigma}_{1}}=3000/2

$$\frac{ { F }_{ 1 } }{ { \sigma }_{ 1 } } = \frac{ 3000 }{ 2 }$$

Solve for F_1

$$F_{1}=1500\sigma _{1}$$

$$\sigma _{1}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2\sigma _{1}, the least common multiple of \sigma _{1},2.

$$2F_{1}=\sigma _{1}\times 3000$$

The equation is in standard form.

$$2F_{1}=3000\sigma _{1}$$

Divide both sides by 2.

$$\frac{2F_{1}}{2}=\frac{3000\sigma _{1}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$F_{1}=\frac{3000\sigma _{1}}{2}$$

Divide 3000\sigma _{1} by 2.

$$F_{1}=1500\sigma _{1}$$

Solve for σ_1

$$\sigma _{1}=\frac{F_{1}}{1500}$$

$$F_{1}\neq 0$$

Steps for Solving Linear Equation

Variable \sigma _{1} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2\sigma _{1}, the least common multiple of \sigma _{1},2.

$$2F_{1}=\sigma _{1}\times 3000$$

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

$$\sigma _{1}\times 3000=2F_{1}$$

The equation is in standard form.

$$3000\sigma _{1}=2F_{1}$$

Divide both sides by 3000.

$$\frac{3000\sigma _{1}}{3000}=\frac{2F_{1}}{3000}$$

Dividing by 3000 undoes the multiplication by 3000.

$$\sigma _{1}=\frac{2F_{1}}{3000}$$

Divide 2F_{1} by 3000.

$$\sigma _{1}=\frac{F_{1}}{1500}$$

Variable \sigma _{1} cannot be equal to 0.

$$\sigma _{1}=\frac{F_{1}}{1500}\text{, }\sigma _{1}\neq 0$$