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Chapter 3: Q11. (page 133)

Solve the equation. Check your solution.

25u+74=23u+92

Short Answer

Expert verified

The solution for the equation 25u+74=23u+92 is u=9.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

25u+74=23u+9225u+74鈭�74=23u+92鈭�74subtract74frombothsides25u=23u+1simplify25u鈭�23u=23u鈭�23u+18subtract23ufrombothsides2u=18simplify

02

– Solve for u

Now, divide both sides of the equation by 2.

2u2=182u=9

Therefore, the solution of the equation is u=9.

03

– Check the solution 

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

25u+74=23u+92

Now, substitute u=9 and check the result.

25脳9+74=23脳9+92225+74=207+92299=299

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

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