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Chapter 2: Q4. (page 100)

Solve each equation. Check your solution.

7=鈭�11+3b+5

Short Answer

Expert verified

The solution of the given equation is b=1.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�7=鈭�11+3b+5鈥�.

02

Step 2. Solve the given equation.

Solving,

7=鈭�11+3b+5 (Given equation)

7=鈭�11+3b+15 (Distributive property)

7=3b+4 (Simplify)

7鈭�4=3b+4鈭�4 (Subtract 4 from both sides)

3=3b (Simplify)

33=3b3 (Divide both sides by 3)

1=b (Simplify)

b=1 (Write the variable on the left-hand side)

So, b=1is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put b=1in the given equation 7=鈭�11+3b+5to get,

7=鈭�11+31+57=鈭�11+367=鈭�11+187=7

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.

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Most popular questions from this chapter

Write a problem based on the following information:

c=costofanotebook;0.25c=markup;c+0.25c=3.75

Translate the following sentence into an equation:

鈥淭he sum of twice r and three times k is identical to thirteen鈥�.

Solve 45x+7=315x鈭�3

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REASONING Solve the equation below. Describe each step.

t=2鈭�22t鈭�31鈭�t

Solve each equation. Check your solution.

n+1鈭�2=15
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