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Anaira Mitch
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Statement 1: y = -3xAnaira Mitch wrote:What is the value of y - x^2 - x?
(1) y = -3x
(2) y = -4(x + 1)
Case 1: x=0, with the result that y = -3(0) = 0
Here, y - x² - x = 0 - 0² - 0 = 0.
Case 2: x=1, with the result that y = -3(1) = -3
Here, y - x² - x = -3 - 1² - 1 = -5.
Since y - x² - x can be different values, INSUFFICIENT.
Statement 2: y = -4(x+1)
Case 3: x=0, with the result that y = -4(0+1) = -4
Here, y - x² - x = -4 - 0² - 0 = -4.
Case 4: x=1, with the result that y = -4(1+1) = -8
Here, y - x² - x = -8 - 1² - 1 = -10.
Since y - x² - x can be different values, INSUFFICIENT.
Statements combined:
Since we have two variables (x and y) and two distinct linear equations [ y=-3x and y=-4(x+1) ], we can solve for x and y.
Thus, the value of y - x² - x can be determined.
SUFFICIENT.
The correct answer is C.
