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Chapter 10: Q55. (page 528)

Solve the equation 35x路811-x=9x-3. Check your solution.

Short Answer

Expert verified

The solution for the equation is x=10.

Step by step solution

01

Step 1. Write down the given equation.

The given equation is 35x路811-x=9x-3.

02

Step 2. Simplify the equation.

The given equation 35x路811-x=9x-3is solved as:

35x鈰�811鈭�x=9x鈭�3....Given35x鈰�341鈭�x=32x鈭�335x鈰�34鈭�4x=32x鈭�635x+4鈭�4x=32x鈭�63x+4=32x鈭�6x+4=2x鈭�6x=10

03

Step 3. Verify the result for obtained value.

Plugging x=10in given equation and verify the result.

35x鈰�811鈭�x=9x鈭�3....Given3510鈰�811鈭�10=910鈭�3350鈰�81鈭�9=97350鈰�34鈭�9=327350鈰�3鈭�36=314314=314....True

Hence the solution is verified for x=10.

04

Step 4. Conclusion.

The solution for the given equation is x=10.

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