Solve 7kg+0.1l=x

$$7 k g + 0.1 l = x$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=-\frac{\frac{l}{10}-x}{7k}\text{, }&k\neq 0\\g\in \mathrm{C}\text{, }&l=10x\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 0.1l from both sides.

$$7kg=x-0.1l$$

The equation is in standard form.

$$7kg=-\frac{l}{10}+x$$

Divide both sides by 7k.

$$\frac{7kg}{7k}=\frac{-\frac{l}{10}+x}{7k}$$

Dividing by 7k undoes the multiplication by 7k.

$$g=\frac{-\frac{l}{10}+x}{7k}$$

Divide -\frac{l}{10}+x by 7k.

$$g=\frac{10x-l}{70k}$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=-\frac{\frac{l}{10}-x}{7g}\text{, }&g\neq 0\\k\in \mathrm{C}\text{, }&l=10x\text{ and }g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 0.1l from both sides.

$$7kg=x-0.1l$$

The equation is in standard form.

$$7gk=-\frac{l}{10}+x$$

Divide both sides by 7g.

$$\frac{7gk}{7g}=\frac{-\frac{l}{10}+x}{7g}$$

Dividing by 7g undoes the multiplication by 7g.

$$k=\frac{-\frac{l}{10}+x}{7g}$$

Divide -\frac{l}{10}+x by 7g.

$$k=\frac{10x-l}{70g}$$

Solve for g

$$\left\{\begin{matrix}g=-\frac{\frac{l}{10}-x}{7k}\text{, }&k\neq 0\\g\in \mathrm{R}\text{, }&l=10x\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 0.1l from both sides.

$$7kg=x-0.1l$$

The equation is in standard form.

$$7kg=-\frac{l}{10}+x$$

Divide both sides by 7k.

$$\frac{7kg}{7k}=\frac{-\frac{l}{10}+x}{7k}$$

Dividing by 7k undoes the multiplication by 7k.

$$g=\frac{-\frac{l}{10}+x}{7k}$$

Divide x-\frac{l}{10} by 7k.

$$g=\frac{10x-l}{70k}$$

Solve for k

$$\left\{\begin{matrix}k=-\frac{\frac{l}{10}-x}{7g}\text{, }&g\neq 0\\k\in \mathrm{R}\text{, }&l=10x\text{ and }g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 0.1l from both sides.

$$7kg=x-0.1l$$

The equation is in standard form.

$$7gk=-\frac{l}{10}+x$$

Divide both sides by 7g.

$$\frac{7gk}{7g}=\frac{-\frac{l}{10}+x}{7g}$$

Dividing by 7g undoes the multiplication by 7g.

$$k=\frac{-\frac{l}{10}+x}{7g}$$

Divide x-\frac{l}{10} by 7g.

$$k=\frac{10x-l}{70g}$$