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Chapter 3: Q44. (page 151)

Algebra Basics Solve the equation. Check your solution. (Lesson 3.2)

3(x+4)=9

Short Answer

Expert verified

The solution for the equation3(x+4)=9 isx=鈭�1 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variables.

3(x+4)=93x+12=93x=9鈭�123x=鈭�3

02

– Solve for x

Now, divide both sides of the equation by 3.

x=鈭�33x=鈭�1

Therefore, the solution of the equation isx=鈭�1 .

03

– Check the solution 

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

3(x+4)=9

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

3(鈭�1+4)=93(3)=99=9

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

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