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Example 8.43 from Prealgebra, 8.4 Solve Equations with Fraction or Decimal Coefficients
Solve:
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Look at the decimals and think of the equivalent fractions.
Notice, the LCD is
By multiplying by the LCD we will clear the decimals.
| Multiply both sides by 100. | |
| Distribute. | |
| Multiply, and now no more decimals. | |
| Collect the variables to the right. | |
| Simplify. | |
| Collect the constants to the left. | |
| Simplify. | |
| Divide by 19. | |
| Simplify. | |
| Check: Let | |
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Solve:
How did it go?