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Chapter 2: Q65. (page 102)

Find the value of n. Then name the property used in each step. (Lesson 1-3)

10鈭�87=2n

Short Answer

Expert verified

The value of nis 7. The property used is substitution property of equality.

Step by step solution

01

Step 1. State the property.

The substitution property of equality states that for any quantity a, if a=b, then amay be replaced by bin any equality.

02

Step 2. Write the given equation.

The given equation is 10鈭�87=2n.

03

Step 3. Solve the given equation.

Note that 10鈭�8=2.

Put 10鈭�8=2in 10鈭�87=2nto get,

27=2n

This implies that,

7=nor equivalently n=7(Substitution property of equality)

So, the solution of the given equation is n=7and the property used is the substitution property of equality.

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