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Chapter 3: Q25. (page 127)

Solve the equation. Check your solution.2=4(3k-8)-11k

Short Answer

Expert verified

The solution for the equation 2=4(3k鈭�8)鈭�11kisk=34.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

2=4(3k鈭�8)鈭�11k2=12k鈭�32鈭�11k[distributiveproperty]2=k鈭�32[combineliketerms]

02

– Solve for k

2+32=k鈭�32+32[add32toeachside]34=k[simplify]k=34

Therefore, the solution of the equation isk=34.

03

– Check the solution 

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

2=4(3k鈭�8)鈭�11k

Now, substitute k=34and check the result.

2=4(3脳34鈭�8)鈭�11脳342=4(102鈭�8)鈭�3742=4(94)鈭�3742=376鈭�3742=2

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

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