Solve 1.3698F_{1}=9-x/x

$$1.3698 F _ { 1 } = \frac { 9 - x } { x }$$

Solve for F_1

$$F_{1}=-\frac{5000}{6849}+\frac{5000}{761x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$1.3698F_{1}x=9-x$$

The equation is in standard form.

$$\frac{6849x}{5000}F_{1}=9-x$$

Divide both sides by 1.3698x.

$$\frac{5000\times \frac{6849x}{5000}F_{1}}{6849x}=\frac{5000\left(9-x\right)}{6849x}$$

Dividing by 1.3698x undoes the multiplication by 1.3698x.

$$F_{1}=\frac{5000\left(9-x\right)}{6849x}$$

Divide 9-x by 1.3698x.

$$F_{1}=-\frac{5000}{6849}+\frac{5000}{761x}$$

Solve for x

$$x=\frac{45000}{6849F_{1}+5000}$$

$$F_{1}\neq -\frac{5000}{6849}$$

Steps for Solving Linear Equation

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

$$1.3698F_{1}x=9-x$$

Add x to both sides.

$$1.3698F_{1}x+x=9$$

Combine all terms containing x.

$$\left(1.3698F_{1}+1\right)x=9$$

The equation is in standard form.

$$\left(\frac{6849F_{1}}{5000}+1\right)x=9$$

Divide both sides by 1.3698F_{1}+1.

$$\frac{\left(\frac{6849F_{1}}{5000}+1\right)x}{\frac{6849F_{1}}{5000}+1}=\frac{9}{\frac{6849F_{1}}{5000}+1}$$

Dividing by 1.3698F_{1}+1 undoes the multiplication by 1.3698F_{1}+1.

$$x=\frac{9}{\frac{6849F_{1}}{5000}+1}$$

Variable x cannot be equal to 0.

$$x=\frac{9}{\frac{6849F_{1}}{5000}+1}\text{, }x\neq 0$$