Chapter 2: Q18. (page 110)

Solve each equation. Check your solution. (Lesson 2-4)
$\frac{3}{4} w + 6 = 9 - \frac{1}{4} - 0$

Short Answer

Expert verified

The solution of the given equation is $w = \frac{11}{3}$ .

Step by step solution

Step 1. Given equation.

$\frac{3}{4} w + 6 = 9 - \frac{1}{4} - 0$

Step 2. Description of step.

In order to solve the given equation first simplify it as:

$\frac{3}{4} w + 6 = 9 - \frac{1}{4} - 0 \frac{3}{4} w + 6 = 9 - \frac{1}{4} \frac{3}{4} w + 6 = \frac{36 - 1}{4} \frac{3}{4} w + 6 = \frac{35}{4}$

Now further solve it as:

role="math" localid="1642768295061" $\frac{3}{4} w + 6 = \frac{35}{4} \frac{3}{4} w = \frac{35}{4} - 6 \frac{3}{4} w = \frac{35 - 24}{4} 3 w = \frac{11}{4} \times 4 3 w = 11 \Rightarrow w = \frac{11}{3}$

Thus,

$w = \frac{11}{3}$

Step 3. Check soultion.

In order to check the solution, put the value of $w = \frac{11}{3}$ in the given equation and see if it satisfy the equation, i.e. if left hand side is equals to right hand side, as:

role="math" localid="1642768586323" $\frac{3}{4} w + 6 = 9 - \frac{1}{4} - 0 \frac{3}{4} (\frac{11}{3}) + 6 = \frac{36 - 1}{4} \frac{11}{4} + 6 = \frac{35}{4} \Rightarrow \frac{11 + 24}{4} = \frac{35}{4} \Rightarrow \frac{35}{4} = \frac{35}{4} \Rightarrow True$

Hence, the solution $w = \frac{11}{3}$ satisfies the equation.

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Solve each equation. Check your solution. (Lesson 2-4)
$\frac{3}{4} w + 6 = 9 - \frac{1}{4} - 0$

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check soultion.

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Solve each equation. Check your solution. (Lesson 2-4)34w+6=9−14−0

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check soultion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution. (Lesson 2-4)
$\frac{3}{4} w + 6 = 9 - \frac{1}{4} - 0$