Solve 1Cal=4.18Jule

$$1 Cal = 4.18 Jule$$

Solve for C

$$\left\{\begin{matrix}C=\frac{209eJu}{50a}\text{, }&a\neq 0\\C\in \mathrm{R}\text{, }&l=0\text{ or }\left(J=0\text{ and }a=0\right)\text{ or }\left(u=0\text{ and }a=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Reorder the terms.

$$Cal=4.18eJlu$$

The equation is in standard form.

$$alC=\frac{209eJlu}{50}$$

Divide both sides by al.

$$\frac{alC}{al}=\frac{209eJlu}{50al}$$

Dividing by al undoes the multiplication by al.

$$C=\frac{209eJlu}{50al}$$

Divide \frac{209Jule}{50} by al.

$$C=\frac{209eJu}{50a}$$

Solve for J

$$\left\{\begin{matrix}J=\frac{50Ca}{209eu}\text{, }&u\neq 0\\J\in \mathrm{R}\text{, }&l=0\text{ or }\left(C=0\text{ and }u=0\right)\text{ or }\left(a=0\text{ and }u=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4.18Jule=1Cal$$

Reorder the terms.

$$4.18eJlu=Cal$$

The equation is in standard form.

$$\frac{209elu}{50}J=Cal$$

Divide both sides by 4.18ule.

$$\frac{50\times \frac{209elu}{50}J}{209elu}=\frac{50Cal}{209elu}$$

Dividing by 4.18ule undoes the multiplication by 4.18ule.

$$J=\frac{50Cal}{209elu}$$

Divide Cal by 4.18ule.

$$J=\frac{50Ca}{209eu}$$