Solve 5quad4kg43gquad=quadkg

$$5 \quad 4 kg 43 g \quad = \quad kg$$

Solve for g

$$\left\{\begin{matrix}\\g=0\text{, }&\text{unconditionally}\\g\in \mathrm{R}\text{, }&g_{43}=\frac{1}{20}\text{ or }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 5 and 4 to get 20.

$$20kg_{43}g=kg$$

Subtract kg from both sides.

$$20kg_{43}g-kg=0$$

Combine all terms containing g.

$$\left(20kg_{43}-k\right)g=0$$

The equation is in standard form.

$$\left(20g_{43}k-k\right)g=0$$

Divide 0 by 20kg_{43}-k.

$$g=0$$

Solve for g_43

$$\left\{\begin{matrix}\\g_{43}=\frac{1}{20}\text{, }&\text{unconditionally}\\g_{43}\in \mathrm{R}\text{, }&g=0\text{ or }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 5 and 4 to get 20.

$$20kg_{43}g=kg$$

The equation is in standard form.

$$20gkg_{43}=gk$$

Divide both sides by 20kg.

$$\frac{20gkg_{43}}{20gk}=\frac{gk}{20gk}$$

Dividing by 20kg undoes the multiplication by 20kg.

$$g_{43}=\frac{gk}{20gk}$$

Divide kg by 20kg.

$$g_{43}=\frac{1}{20}$$