To calculate: The solution of the equation 0.6p−1.9=0.78p+1.7 by clearing the decimals.

Question

To calculate:  The solution of the equation 0.6p−1.9=0.78p+1.7 by clearing the decimals.

Nola Robson · Accepted Answer

Step 1 The equation is 0.6p−1.9=0.78p+1.7 Consider the equation, 0.6p−1.9=0.78p+1.7 In order to find the solution follow the steps given below: First find the least common denominator of all thefractions. 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, a(b+c)=ab+ac. Then simflify. The equation can be written as, 610p−1910=78100p+1710  The least common denominator is 100. So, 100(0.6p−1.9)=100(0.78p+1.7) 60p−190=78p+170 60p−190−78p+190=78p+170−78p+190 −18p=360 Solve further to get, −18p−18=360−18 p=−20 Hence, p=−20 is the solution of 0.6−1.9=0.78p+1.7

To calculate: The solution of the equation 0.6p-1.9=0.78p+1.7 by clearing the decimals.

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