Solve F=10000kg*501/52

$$F = 10000 kg \cdot 50 \frac { 1 } { 52 }$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=\frac{13F}{6502500k}\text{, }&k\neq 0\\g\in \mathrm{C}\text{, }&F=0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 50 and 52 to get 2600.

$$F=10000kg\times \frac{2600+1}{52}$$

Add 2600 and 1 to get 2601.

$$F=10000kg\times \frac{2601}{52}$$

Multiply 10000 and \frac{2601}{52} to get \frac{6502500}{13}.

$$F=\frac{6502500}{13}kg$$

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

$$\frac{6502500}{13}kg=F$$

The equation is in standard form.

$$\frac{6502500k}{13}g=F$$

Divide both sides by \frac{6502500}{13}k.

$$\frac{13\times \frac{6502500k}{13}g}{6502500k}=\frac{13F}{6502500k}$$

Dividing by \frac{6502500}{13}k undoes the multiplication by \frac{6502500}{13}k.

$$g=\frac{13F}{6502500k}$$

Solve for F

$$F=\frac{6502500gk}{13}$$

Solution Steps

Multiply 50 and 52 to get 2600.

$$F=10000kg\times \frac{2600+1}{52}$$

Add 2600 and 1 to get 2601.

$$F=10000kg\times \frac{2601}{52}$$

Multiply 10000 and \frac{2601}{52} to get \frac{6502500}{13}.

$$F=\frac{6502500}{13}kg$$

Solve for g

$$\left\{\begin{matrix}g=\frac{13F}{6502500k}\text{, }&k\neq 0\\g\in \mathrm{R}\text{, }&F=0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 50 and 52 to get 2600.

$$F=10000kg\times \frac{2600+1}{52}$$

Add 2600 and 1 to get 2601.

$$F=10000kg\times \frac{2601}{52}$$

Multiply 10000 and \frac{2601}{52} to get \frac{6502500}{13}.

$$F=\frac{6502500}{13}kg$$

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

$$\frac{6502500}{13}kg=F$$

The equation is in standard form.

$$\frac{6502500k}{13}g=F$$

Divide both sides by \frac{6502500}{13}k.

$$\frac{13\times \frac{6502500k}{13}g}{6502500k}=\frac{13F}{6502500k}$$

Dividing by \frac{6502500}{13}k undoes the multiplication by \frac{6502500}{13}k.

$$g=\frac{13F}{6502500k}$$