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Chapter 2: Q10. (page 93)

Write an equation and solve each problem. Find three consecutive integers with a sum of -36.

Short Answer

Expert verified

The equation of a given situation is x+(x+1)+(x+2).

The three consecutive integers whose sum is -36are role="math" localid="1642142492284" 鈭�11,鈭�12,鈥夆赌�and鈥夆赌�13.

Step by step solution

01

Step 1. Make the equation.

The sum of three consecutive integers is -36.

Assume that the smallest integer be x.

So, the equation is x+(x+1)+(x+2)

02

Step 2. Find the value of x from the equation.

x+(x+1)+(x+2)=鈭�36x+x+1+x+2=鈭�363x+3=鈭�363x=鈭�36鈭�33x=鈭�39x=鈭�393x=鈭�13

03

Step 3. Write three consecutive integers.

The three consecutive integers are 鈭�13, 鈭�13+1=鈭�12鈥�and 鈭�13+2=鈭�11.

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Most popular questions from this chapter

Translate the following sentence into an equation:

鈥淭he quotient of t and forty is the same as twelve minus half of u鈥�.

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?

Solve each equation. Check your solution.

3m+4=鈭�11

REASONING Solve the equation below. Describe each step.

t=2鈭�22t鈭�31鈭�t

Compare and contrast solving equations with variables on both sides of the equation to solving one-step or multi-step equations with a variable on one side of the equation.
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