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help - solve decimal equation











































670=.35x+x

Solve the equation for x (an exact answer) using one of the following techniques:

1. keep the existing decimals throughout the solution process

or

2. convert the decimal to an integer by multiplying both sides of the equation by 100

Comments for help - solve decimal equation

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Feb 02, 2011
Help - Solve Decimal Equation
by: Staff


The question:

670=.35x+x


The answer:

670=.35x+x

Combine the x’s

670 = (.35 + 1)*x

670 = (1.35)*x

670 = 1.35*x

Divide each side of the equation by 1.35

670/1.35 = (1.35*x)/1.35

670/1.35 = (1.35/1.35)*x

670/1.35 = (1)*x

670/1.35 = 1*x

670/1.35 = x

670/1.35 = x

496.2962962962963 = x

The final answer: x = 496.3 (rounded to the nearest tenth)


Next step: check the work.

Substitute 496.3 for x in the original equation (or, if you prefer 496.2962962962963 for x)

670 = .35x + x

670 = (.35)*(496.3) + 496.3

670 = 173.7 + 496.3

670 = 173.7 + 496.3

670 = 670

We know that x = 496.3 is the correct solution because 670 does = 670



Thanks for writing.


Staff
www.solving-math-problems.com


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