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Chapter 3: Q5. (page 127)

Solve the equation. Check your solution.21=4x-9-x

Short Answer

Expert verified

The solution for the equation 21=4x鈭�9鈭�xisx=10.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

21=4x鈭�9鈭�x21=3x鈭�921+9=3x鈭�9+930=3x3x=30

02

– Solve for x

Now, divide both sides of the equation by 10.

3x3=303x=10

Therefore, the solution of the equation isx=10.

03

– Check the solution 

To check the solution, write the original equation and substitute the value of x.21=4x鈭�9鈭�x

Now, substitute x=10and check the result.

21=4(10)鈭�9鈭�1021=40鈭�9鈭�1021=40鈭�1921=21

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

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