Two lines, X and Y, are graphed:

Line X is drawn by joining ordered pairs negative 3,12 and 7,negative 16. Line Y is drawn by joining ordered pairs 0, negative 14 and 11, 8

Determine the solution and the reasoning that justifies the solution to the systems of equations.

(2, 7), because this point is true for both equations
(4, −6), because this point lies only on one of the two lines
(4, −6), because this point makes both equations true
(2, 7), because the lines intersect the x‐axis at these points

1 answer

The solution to the systems of equations is (2, 7), because this point is true for both equations. The point (2, 7) lies on both Line X and Line Y, satisfying both equations simultaneously. This point is the intersection of the two lines, making it the solution to the system of equations.