Solve DeltaW/Deltaq=23*10^3J/20C=

$$\frac { \Delta W } { \Delta q } = \frac { 23 \times 10 ^ { 3 } J } { 20 C } =$$

Solve for C

$$\left\{\begin{matrix}C=\frac{1150Jq}{W}\text{, }&J\neq 0\text{ and }q\neq 0\text{ and }W\neq 0\text{ and }\Delta \neq 0\\C\neq 0\text{, }&W=0\text{ and }J=0\text{ and }q\neq 0\text{ and }\Delta \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable C cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 20Cq\Delta , the least common multiple of \Delta q,20C.

$$20C\Delta W=q\Delta \times 23\times 10^{3}J$$

Calculate 10 to the power of 3 and get 1000.

$$20C\Delta W=q\Delta \times 23\times 1000J$$

Multiply 23 and 1000 to get 23000.

$$20C\Delta W=q\Delta \times 23000J$$

The equation is in standard form.

$$20W\Delta C=23000Jq\Delta$$

Divide both sides by 20\Delta W.

$$\frac{20W\Delta C}{20W\Delta }=\frac{23000Jq\Delta }{20W\Delta }$$

Dividing by 20\Delta W undoes the multiplication by 20\Delta W.

$$C=\frac{23000Jq\Delta }{20W\Delta }$$

Divide 23000q\Delta J by 20\Delta W.

$$C=\frac{1150Jq}{W}$$

Variable C cannot be equal to 0.

$$C=\frac{1150Jq}{W}\text{, }C\neq 0$$

Solve for J

$$J=\frac{CW}{1150q}$$

$$\Delta \neq 0\text{ and }q\neq 0\text{ and }C\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20Cq\Delta , the least common multiple of \Delta q,20C.

$$20C\Delta W=q\Delta \times 23\times 10^{3}J$$

Calculate 10 to the power of 3 and get 1000.

$$20C\Delta W=q\Delta \times 23\times 1000J$$

Multiply 23 and 1000 to get 23000.

$$20C\Delta W=q\Delta \times 23000J$$

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

$$q\Delta \times 23000J=20C\Delta W$$

The equation is in standard form.

$$23000q\Delta J=20CW\Delta$$

Divide both sides by 23000q\Delta .

$$\frac{23000q\Delta J}{23000q\Delta }=\frac{20CW\Delta }{23000q\Delta }$$

Dividing by 23000q\Delta undoes the multiplication by 23000q\Delta .

$$J=\frac{20CW\Delta }{23000q\Delta }$$

Divide 20C\Delta W by 23000q\Delta .

$$J=\frac{CW}{1150q}$$