Question

Considering all values of x and y for which x+y is at most 7, x is at least 2, and y is at least -1, what is the minimum value of y-2x?

Answer 1

graph x+y ≤ 7 AND x ≥ 2 AND y ≥ -1

this results in a set of points forming a triangle with vertices (2,5), (2,0) and (7,0)

let P = -2x + y
sub in those three points shows that (7,0) yields the smallest value of P
so the minimum value of y-2x is -14

Answer 2

the answer is -17 but i don't understand how you get it

Answer 3

I made an arithmetic error,
the 3 points of the triangle should be (2,5),(2,-1) and (8,-1), notice that each point satisfies all 3 of our inequations

so using (8,-1),
y-2x
= -1 - 2(8)
= -17

Answer 4

lol imagine reading this and contacting Icon#0336