Let y = 2g + x^2 and g = 5x + 1.
If g^2 = 361, then which of the following can be a value of 2y + 3g?	Pick one.
A) 75
B) 92
C) -101
D) 142
E) 160
800score Official Solution:   First note that g can either be 19 or -19. We are going to have to use both to find all solutions before we can choose a final answer. We begin by substituting g = 19 and then g = -19. If g = 19, then x = 18/5. If g = -19, then x = -4. Since all of our solutions are whole numbers, we can dismiss 18/5. We use g = -19 and x = -4 to determine the value of y: y = 2(-19) + 16 = -22. Finally, we substitute the values for y and g into the last expression to determine its value : 2(-22) + 3(-19) = -44 - 57 = -101;the correct answer is (-101).
<result>C</result>
Let y = 2g + x^2 and g = 5x + 1.
If g^2 = 361, then which of the following can be a value of 2y + 3g?