Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Solving Simple Equations
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Exercise 5 Page 5

Remember that π is a constant and not a variable.

x=9, see solution.

Practice makes perfect

Remember that π is a constant and not a variable. Keeping that in mind, we can solve the given equation for x by dividing both sides by π. We want to divide because multiplication and division are inverse operations — they cancel each other out. This is allowed by the Division Property of Equality.

9Ï€=Ï€ x
9Ï€/Ï€=Ï€ x/Ï€
9Ï€/Ï€=Ï€ x/Ï€
9=x
x=9

We will check our solution by substituting this result back into the original equation and simplifying. If doing so results in an identity, our solution is correct.

9Ï€=Ï€ x
9Ï€? =Ï€ * 9
9π? = 9 * π
9π=9 π ✓

Since substituting x=9 resulted in an identity, our solution is correct.