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Chapter 1: Q13. (page 67)

Find the solution of the equation3x-9=12 if the replacement sets are x:1,3,5,7,9and y:2,4,6,8,10.

Short Answer

Expert verified

The solution of the equation 3x鈭�9=12is x=7.

Step by step solution

01

Step 1. Given information.

We have an equation 3x鈭�9=12and a setx:1,3,5,7,9

To find the solution of the given equation at every value of x.

02

Step 2. Calculation.

Substitute x=1in the equation 3x鈭�9=12

3脳1-9=12

鈬�3-9=12

鈬�-6鈮�12

x=1is not the solution of the given equation.

Substitute x=3in the equation 3x鈭�9=12

3脳3-9=12

鈬�9-9=12

鈬�0鈮�12

x=3is not the solution of the given equation.

Substitute x=5in the equation 3x鈭�9=12

3脳5-9=12

鈬�15-9=12

鈬�6鈮�12

x=5is not the solution of the given equation.

Substitute in the equation 3x鈭�9=12

3脳9-9=12

鈬�27-9=12

鈬�18鈮�12

x=9is not the solution of the given equation.

03

Step 3. Conclusion.

Substitute x=7in the equation3x鈭�9=12

3脳7-9=12

鈬�21-9=12

鈬�12=12

Hence, the x=7is the solution of the given equation.

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Most popular questions from this chapter

Find the area of the rectangle.

A)鈥夆赌夆赌夆赌夆赌夆赌夆赌�14鈥夆赌�square鈥�metersB)鈥夆赌夆赌夆赌夆赌夆赌夆赌夆��16鈥夆赌�square鈥�metersC)鈥夆赌夆赌夆赌夆赌夆赌夆赌夆��50鈥夆赌�square鈥�metersD)鈥夆赌夆赌夆赌夆赌夆赌夆赌夆��60鈥夆赌�square鈥�meters

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Write a verbal expression for each algebraic expression.

r4鈰�t3

Write a verbal expression for each algebraic expression.

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Write an algebraic expression for each verbal expression.

xmore than 7
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