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Chapter 2: Q76. (page 88)

REASONING Determine the value for each statement below.

a. If x鈭�7=14, what is the value of x鈭�2?

b. If t+8=鈭�12, what is the value of t+1?

Short Answer

Expert verified
  1. The value of x鈭�2is 19.
  2. The value oft+1is -19.

Step by step solution

01

Part a. Step 1. Write the given information.

The given equation is:x鈭�7=14

02

Part a. Step 2. Calculation.

Consider the given equation,

x鈭�7=14x=14+7x=21

03

Part a. Step 3. Computing the value of required expression.

Substitutex=21 in x鈭�2, we get

21鈭�2=19

So, The value of x鈭�2is 19.

04

Part b. Step 1. Write the given information.

The given equation is:t+8=鈭�12

05

Part b. Step 2. Calculation.

Consider the given equation,

t+8=鈭�12t=鈭�12鈭�8t=鈭�20

06

Part b. Step 3. Computing the value of required expression.

Substitutet=鈭�20 in t+1, we get

鈭�20+1=鈭�19

So, the value of t+1is -19.

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