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

Question

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

unessodopunsep · Accepted Answer

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+255−41u−255=41u+680−41u−255  −5u=425  Solve further to get,  −5u−5=425−5  u=−85  Hence, u=−85 is the solution of 0.36u+2.55=0.41u+6.8

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

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