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Chapter 8: Q6. (page 400)

Solve the equation Check your solution.

29+4f+2=-7

Short Answer

Expert verified

The solution of our given equation would be f=-11.

Step by step solution

01

Step 1. Given Information.

An equation: 29+4f+2=-7

02

Step 2. Calculation.

To solve our given equation, we use opposite operations as shown below:

29+4(f+2)=鈭�7鈥勨赌勨赌�Givenequation29鈭�29+4(f+2)=鈭�7鈭�29Subtracting29frombothsides4(f+2)=鈭�364(f+2)4=鈭�364鈥勨赌勨赌勨�勨赌勨赌勨��Dividingbothsidesby4f+2=鈭�9f+2鈭�2=鈭�9鈭�2鈥勨赌勨赌勨�勨赌勨赌勨�勨��Subtracting2frombothsidesf=鈭�11

Let us verify our answer by substituting f=-11 in our original equation.

29+4(f+2)=鈭�7Givenequation29+4(鈭�11+2)=鈭�7鈥勨赌勨赌勨��Substitutingf=鈭�1129+4(鈭�9)=鈭�729鈭�36=鈭�7鈭�7=鈭�7

Since both sides of equation are equal, therefore, f=-11 is a solution of our given equation.

03

Step 3. Conclusion. 

The solution of our given equation would be f=鈭�11.

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Most popular questions from this chapter

Is the equation x=4y+3 in function form? Explain.

An equation whose graph is a line is called a(n) ?.

Identify the domain and range of the relation.

0,0,1,2,2,4,3,6,4,8

Write an inequality represented by the graph.

Write the equation in function form. Then graph the equation.

2x+3y=12
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