Directions: Using the integers -9 to 9 at most one time each, place an integer in each box to create a system of equations with a solution in that’s as close to the origin as possible.
How can you tell which solution is closer to the origin?
The solution that is closest to the origin which has been found so far is y = (9/-1)x + -2 and y = (8/1)x + 2 which has a solution at (-4/17, 2/17). Have you found a solution that is even closer to 0? Let us know in the comments.
Source: Robert Kaplinsky
Even closer to zero system is: y=9/8x+0 and y=-9/1x+-1 it hits the point (8/81, 1/9)
I stumbled upon this by accident:
y = (9/1)x+(-1) and y = (-4/4)x+0
The intersection is (1/10, -1/10)
y = (-9/-1)x + 1 and y = (-2/9)x + 0 ?
That intersection is (-9/83, 2/83).