# 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

 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