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Chapter 3: Q. 3 (page 127)

Solve the equation. Check your solution

11+x=10

Short Answer

Expert verified

The solution for the equation 11+x=10is x=鈭�1.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

11+x=1011+x鈭�11=10鈭�11x=10鈭�11

02

– Solve for x

Simplify the equation to find the value of x

x=10鈭�11x=鈭�1

Therefore, the solution of the equation is x=鈭�1.

03

– Check the solution 

To check the solution, write the original equation and substitute the value of x.

11+x=10

Now, substitutex=鈭�1and check the result.

4+鈭�1+7=104鈭�1+7=1011鈭�1=1010=10

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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Duathlons A duathlon is an event that consists of running and biking. While training for a duathlon, you run and bike a total of 23 kilometers in 1.25 hours. You run at an average speed of 10 kilometers in 1.25 hours. You run at an average speed of 10 kilometers per hour and bike at an average speed of 24 kilometers per hour. Write and solve an equation to find the time you spend running and the time you spend biking.

The perimeter of the rectangle shown is 28 units. The length is 10 units. What is the width of the rectangle?

  1. Write an equation for the perimeter of the rectangle in terms of x.
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