Solving Math Problem - Decimal Equation

Solving an equation containing decimals uses exactly the same techniques as solving equations with integers.

how do i solve

7.7y - 75 = 5.3y - 55.8

Comments for Solving Math Problem - Decimal Equation

 Aug 05, 2011 Decimal Equation by: Staff The question: how do i solve 7.7y-75=5.3y-55.8 The answer: 7.7y - 75 = 5.3y - 55.8 Solving an equation containing decimals uses exactly the same process as solving an equation containing only integers. Since this is a single variable equation, begin by moving all the y variables to one side of the equation: To accomplish this, we will subtract 5.3y from each side of the equation 7.7y - 5.3y - 75 = 5.3y - 5.3y - 55.8 7.7y - 5.3y - 75 = 0 - 55.8 7.7y - 5.3y - 75 = - 55.8 2.4y - 75 = - 55.8 Next, move the 75 to the right side of the equation To accomplish this, we will add 75 to each side of the equation 2.4y - 75 + 75 = - 55.8 + 75 2.4y + 0 = - 55.8 + 75 2.4y = - 55.8 + 75 2.4y = 19.2 Finally, remove the 2.4 from the left side of the equation To accomplish this, divide each side of the equation by 2.4 2.4y/2.4 = 19.2/2.4 y*(2.4/2.4) = 19.2/2.4 y*(1) = 19.2/2.4 y = 19.2/2.4 y = 8 the final answer is: y = 8 Last of all, check the answer by substituting the number “8 for” every “y” in the original equation 7.7y - 75 = 5.3y - 55.8 7.7*8 - 75 = 5.3*8 - 55.8 61.6 - 75 = 5.3*8 - 55.8 -13.4 = 5.3*8 - 55.8 -13.4 = 42.4 - 55.8 -13.4 = -13.4, OK - the solution y = 8 is correct Thanks for writing. Staff www.solving-math-problems.com

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