To calculate: The solution of the equation 0.36u+2.55=0.41u+6.8 by clearing the decimals.

Kaycee Roche

Kaycee Roche

Answered question

2021-06-12

To calculate:
The solution of the equation 0.36u+2.55=0.41u+6.8 by clearing the decimals.

Answer & Explanation

unessodopunsep

unessodopunsep

Skilled2021-06-13Added 105 answers

Step 1
The equation is 0.36u+2.55=0.41u+6.8
Consider the equation,
0.36u+2.55=0.41u+6.8
In order to find the solution follow the steps given below:
First find the least common denominator of all the fractions.
Then, multiply both sides of the equation by the least common denominator.
Then, use Distributive Property which states that for any real numbers a, b and c,
4(b+c)=ab+ac
Then simplify.
Step 2
The equation can be written as,
36100u+255100=41100+6810
The least common denominator is 100.
So,
100(0.36u+2.55)=100(0.41u+6.8)
36u+255=41u+680
36u+25541u255=41u+68041u255
5u=425
Solve further to get,
5u5=4255
u=85
Hence, u=85 is the solution of 0.36u+2.55=0.41u+6.8

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