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Chapter 2: Q6. (page 100)

Solve each equation. Check your solution.

7−3r=r−42+r

Short Answer

Expert verified

There is no solution for the given equation.

Step by step solution

01

Step 1. Write the given equation.

The given equation is “7−3r=r−42+r”.

02

Step 2. Solve the given equation.

Solving,

7−3r=r−42+r (Given equation)

7−3r=r−8−4r (Distributive property)

7−3r=−8−3r (Simplify)

7−3r+3r=−8−3r+3r (Add to both sides)

7=−8 (Simplify)

However, 7≠−8

This implies that there is no solution of the given equation.

03

Step 3. Check the obtained solution.

Since no solution can be obtained for the given equation, there is no need to verify the solution.

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Most popular questions from this chapter

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

n+0=23

Translate the following statement in if-then form:

“For x=8, x2−3x=40”.

Explain why the multiplication property of equality and the division property of equality can be considered the same property. Which one do you think is easier to use?

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

4⋅14=n

Which equation represents the second step of the solution process?

Step 1: 42x+7−6=3x

Step 2: _________________

Step 3: 5x+28−6=0

Step 4: 5x=−22

Step 5: x=−4.4

  1. 42x−6+7=3x
  2. 42x+1=3x
  3. 8x+7−6=3x
  4. 8x+28−6=3x
See all solutions

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