(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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