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 37 Page 9

Use the Division Property of Equality. Keep in mind that π is a constant, not a variable.

j=-18

Practice makes perfect

First, let's recall that π is a constant, not a variable. Keeping this in mind, we can solve the given equation for j by dividing both sides of the equation by 6π. We want to divide by 6π because multiplication and division are inverse operations. This is allowed by the Division Property of Equality.

-108Ï€=6Ï€ j
-108Ï€/6Ï€=6Ï€ j/6Ï€
-18=j
j=-18

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.

-108Ï€=6Ï€ j
-108Ï€? =6Ï€ ( -18)
-108π=-108π ✓

Since substituting j=-18 resulted in an identity, our solution is correct.