Have one more...

5p - 11 = 9p + 17

which side would you start on as the constant vs. variable

Thanks!

Al

Expert Answers

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Solve `5p - 11 = 9p + 17.`

It does not matter which side you start with.  I usually start with moving my variables to the side that will make them positive.  However, it does not matter as long as when solving you use opposite operations to move from one side to the next.

In this case, I start by moving 5p to the right by subtracting 5p from each side.

`5p - 11 - (5p) = 9p + 17 (-5p)`

5p - 5p = 0, therefore leaving -11 on left.

`-11 = 4p + 17` Now subtract 17 from each side to move to the left.

`-11 - (17) = 4p + 17 - (17)`

`-28 = 4p` Now divide both sides by 4.

`(-28)/4 = (4p)/4`

`-7 = p` or `p = -7`

The solution is p = -7.

Where you start is often a personal preference.

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