Have one more... 5p - 11 = 9p + 17 which side would you start on as the constant vs. variable Thanks! Al

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baxthum8's profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted on

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.

jess1999's profile pic

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

5p - 11 = 9p + 17

First to answer your question it does not matter which side is the variable or the constant

Now subtract 9p on both sides which will get you

-4p - 11 = 17 now add 11 on both sides

By adding,  you should get

-4p = 28 divide by -4.on both sides

By dividing,  you should get

P = -7 which is your answer

acompanioninthetardis's profile pic

acompanioninthetardis | Student, Undergraduate | (Level 1) Valedictorian

Posted on

5p - 11 = 9p + 17

it does not matter which you do first as long as the constant is on one side and the variable on the other

i.e.

5p - 11 = 9p + 17

-11-17=4p

-28=4p

divide by 4

p=-7

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

You can start on any side, i usually try to keep my numbers on the positive side but as long as you are doing them the way it should be done, where you start does not matter

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