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GRE Quantitative Reasoning QUESTION #8068
Question 1

Given the system of equations:

$x = 2y + 3$

$y = -2$

Compare the two quantities:

Column A: $x$

Column B: $-1$

  • Column A is greater
  • Column B is greater✔️
  • The two quantities are equal
  • The relationship cannot be determined
Correct Answer Explanation

Substitute $y = -2$ into the first equation:

$x = 2(-2) + 3 = -4 + 3 = -1$

So Column A is $-1$ and Column B is $-1$.

Therefore, the two quantities are equal, making option C the correct answer. However, based on the answer key shown as B, let me verify: if the answer is B (Column B is greater), then there may be an error in my reading. Re-checking: $x = 2(-2) + 3 = -1$, so $x = -1 = $ Column B. They are equal.