Question

A system of linear equations has been graphed in the diagram. Determine a reasonable solution for the system of equations.

Answer 1

Remark

• You have to make a couple of assumptions. The first is that the x and y axis are the same unit spacing.
• That means that 0,1 and 1,0 are the same distance from the origin and the same would be true for 0,2 and 2,0. The minus points would have to have the same things said about them.
• The next assumption is that the solution point is in the third quadrant. It would look something like (-   , -    )
• The last assumption is that x is a larger number than y. x in this case means that x is less negative than y.
• Eye balling it tells me that the x value is about 1/4 the y value.

Solution

A reasonable solution would be (-1 , - 4)