Solve z/37+273=0.5*z/x

$$\frac{ z }{ 37+273 } = \frac{ 0.5 \times z }{ x }$$

Solve for x

$$x=155$$

$$x\neq 0$$

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.

$$\frac{1}{310}xz=0.5z$$

The equation is in standard form.

$$\frac{z}{310}x=\frac{z}{2}$$

Divide both sides by \frac{1}{310}z.

$$\frac{310\times \frac{z}{310}x}{z}=\frac{z}{2\times \frac{z}{310}}$$

Dividing by \frac{1}{310}z undoes the multiplication by \frac{1}{310}z.

$$x=\frac{z}{2\times \frac{z}{310}}$$

Divide \frac{z}{2} by \frac{1}{310}z.

$$x=155$$

Solve for z

$$\left\{\begin{matrix}\\z=0\text{, }&\text{unconditionally}\\z\in \mathrm{R}\text{, }&x=155\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$\frac{1}{310}xz=0.5z$$

Subtract 0.5z from both sides.

$$\frac{1}{310}xz-0.5z=0$$

Combine all terms containing z.

$$\left(\frac{1}{310}x-0.5\right)z=0$$

The equation is in standard form.

$$\left(\frac{x}{310}-0.5\right)z=0$$

Divide 0 by \frac{1}{310}x-0.5.

$$z=0$$