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Solving Equations Inverse operations INVERSE = Opposite • If I am solving an equation using inverses operations, I am solving it using opposite signs. • Example: addition and subtraction are opposites. • Multiplication and division are opposites. WHEN CAN I USE INVERSE? • When I have the following, I can use inverse operations: • 9(a)=19 If there is no sign, • A(9)=19 it means multiply. • The opposite of multiply is divide, so divide the 2 numbers to find the value of the number. When can I use inverse? • N ÷ 9= 5 • The opposite of divide is multiply, so you will find n by multiplying the two numbers. • You can not use the inverse in division if the number comes before the letter like in 9 ÷ n = 45. When Can I Use Inverse? • N-3= 9 • The opposite of subtract is add, so I will add the 2 numbers to find N. • With subtraction, I can only use inverse if the letter comes first. • I cannot do 3-n=2 using inverse. When can I use inverse? • 9+n=10 or n+9=10 • The opposite of add is subtract, so subtract the smallest number from the largest to find your answer. Division • If the number comes first in division, I will divide to find my answer. • Example 20÷n=5 • I will divide to find my answer. Subtraction • If the number comes first in subtraction, I will subtract to find the answer. • Example: • 12-n=3 n=12-3 Try some using inverse!!! • • • • • n-9=10 What is n? 16+n=19 What is n? n÷5=9 What is n? n(5)=45 What is n? 12(n)=3 What is n? Some more • Practice 21.2