SOLUTION: what is an ordered pair for 3x+y>6 and x+3y<3

Algebra ->  Linear-equations -> SOLUTION: what is an ordered pair for 3x+y>6 and x+3y<3      Log On


   



Question 822363: what is an ordered pair for 3x+y>6 and x+3y<3
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Take your pick, any point within the satisfying region.

y%3E-3x%2B6 and y%3C-%281%2F3%29x%2B1.

Difficult to handle the rendering for those two inequalities, but there will be a region in the plane which satisfies the system, both inequalities.

Look at the LINES:
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-3x%2B6%2C-%281%2F3%29x%2B1%29
You would want to SHADE the half plane above the red line and shade the half plane below the green line. All the doubly shaded region is the solution to the system. An ordered pair which works, but certainly not the only one, is (3, -1).