Open Middle®
Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create a system of equations whose solution is as close to the origin as possible.
Hint
How can you check whether your lines intersect at your solution algebraically? How can you check whether your lines intersect at your solution graphically?
Answer
The current best answer is:
-1x + 3y = 5
y = 4x + -2
Solution: (1, 2)
-1x + 3y = 5
y = 4x + -2
Solution: (1, 2)
Source: Robert Kaplinsky
This is a great problem. You can also use a few additive inverses of the integers used to result in a solution of (-1,-2), which is the same distance from the origin as (1,2).
Lot of possible solutions
5x + 2y = 3, y= – 6x – 7 POI (1,-1)
5x – 2y = -7, y = 2x + 3 POI(-1, 1)