Bunuel
What is the value of x ?
(1) 2x -3y = -8
(2) 16 + 4x = 6y
Target question: What is the value of x ?Key concept: A single linear equation with two variables is insufficient to determine the individual value of one of the variables. With this in mind, we can immediately conclude that statements 1 and 2 alone are insufficient, which means we can head straight to....
Statements 1 and 2 combined Statement 1 tells us that
2x -3y = -8Statement 2 tells us that
16 + 4x = 6yKey concept: If these two linear equations with two variables were different, then we'd be able to solve the system for the individual values of x and y.
In this case, the two equations are
equivalent. Here's why:
Take for the first equation:
2x -3y = -8Add 8 to both sides, and add 3y to both sides:
2x + 8 = 3yMultiply both sides of the equation by 2 to get
4x + 16 = 6y, which is equivalent to the second equation.
Since the two equations are equivalent, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent