Dr. Steve's SAT Math Problem Thread for the Revised SAT

@Xiggi I’m not sure I understand your first solution - perhaps you can give a few more details? But your second solution is good. Here are the details:

(1) We subtract the first equation from the second to get 4y - 3x = -2 - 4x + 2y

(2) Solve for x to get x = -2 - 2y = -2(1 + y) = -2(y + 1)

(3) Cross divide to get (y + 1)/x = -1/2, choice (B).

I suppose that you could argue that there are only 2 steps here, but I personally see 3 steps: (i) Performing an operation (subtraction), (ii) Solving for a variable (in this case x), and (iii) Recognizing that the expression in (ii) can be manipulated into the required form.

I suppose that you can argue that (ii) and (iii) can be considered one step, but even so, I think you would agree that it would still be more difficult than anything we’ve seen on the current SAT.

Also, I don’t know if I would recommend this method here. What if we were asked to find a different final expression. I don’t think this method would work for an arbitrary expression.

I’ll post a few more solutions for this problem soon, but anyone else please feel free to post your own in the meantime.