SOLUTION: I have tried but to no avail to solve the following problem: Find the coordinates of the vertices of the figures formed by: y≤x+2, x+y≤6, and y≥-2.

Algebra ->  Graphs -> SOLUTION: I have tried but to no avail to solve the following problem: Find the coordinates of the vertices of the figures formed by: y≤x+2, x+y≤6, and y≥-2.      Log On


   

Question 98619: I have tried but to no avail to solve the following problem:
Find the coordinates of the vertices of the figures formed by:
y≤x+2, x+y≤6, and y≥-2.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
working with them as equalities makes things easier ... y=x+2, x+y=6, y=-2

the vertices with y=-2 are easiest, just substitute -2 into the other equations

-2=x+2 ... -4=x, so vertex is (-4,-2) ... x+(-2)=6 ... x=8, so vertex is (8,-2)

find the last vertex with a simultaneous solution

y=x+2 so x+(x+2)=6 ... 2x+2=6 ... x=2 ... y=2+2 ... y=4 ... vertex is (2,4)