(x - 2) - 4 (y + 7) = 117(x - 2) + 4 (y + 7) = 442The solution to the given system of equations is (x, y). What is the value of 6(x - 2)?
Correct answer: C. 1,677
- A. 1,660
- B. 1,665
- C. 1,677
- D. 1,680
Explanation
To find the value of 6(x - 2), first, notice that adding the two equations together helps eliminate the y terms. The equations are:(x - 2) - 4(y + 7) = 117(x - 2) + 4(y + 7) = 442Adding these equations results in: 2(x - 2) = 559Divide both sides by 2 to find x - 2: x - 2 = 279.5Then multiply by 6 to find 6(x - 2): 6(x - 2) = 6 * 279.5 = 1,677This confirms that the correct answer is 1,677. The other options do not account for the appropriate simplification and multiplication steps.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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