Anaira Mitch wrote:What is the value of y - x^2 - x?
(1) y = -3x
(2) y = -4(x + 1)
Statement 1: y = -3x
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.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
