Question

Match each formula on the left side to an equivalent formula on the right side.

Answer 1

To solve the exercise you can take the equations on the right side and solve for A.

So for the first equation on the right side you have:

`\begin{gathered} B=(C)/(AD) \\ \text{ Multiply by AD on both sides of the equation} \\ B\cdot AD=(C)/(AD)\cdot AD \\ ABD=C \\ \text{ Divide by BD into both sides of the equation} \\ (ABD)/(BD)=(C)/(DB) \\ A=(C)/(BD) \end{gathered}`

For the second equation on the right side you have:

`\begin{gathered} B=(CD)/(A) \\ \text{Multiply by A on both sides of the equation} \\ B\cdot A=(CD)/(A)\cdot A \\ AB=CD \\ \text{ Divide by B into both sides of the equation} \\ (AB)/(B)=(CD)/(B) \\ A=(CD)/(B) \end{gathered}`

For the third equation on the right side you have:

`\begin{gathered} B=(A)/(CD) \\ \text{ Multiply by CD on both sides of the equation} \\ B\cdot CD=(A)/(CD)\cdot CD \\ BCD=A \\ A=BCD \end{gathered}`

Finally, for the fourth equation on the right side you have:

`\begin{gathered} B=(AD)/(C) \\ \text{ Multiply by C on both sides of the equation} \\ B\cdot C=(AD)/(C)\cdot C \\ BC=AD \\ \text{ Divide by D into both sides of the equation} \\ (BC)/(D)=(AD)/(D) \\ (BC)/(D)=A \\ A=(BC)/(D) \end{gathered}`