Question

complete the sentence.
if the solution to a system of two linear equations containing two unknowns is x = 3, y = -2, then the lines intersect at ____.

if the solution to a system of two linear equations containing two unknowns is x = 3, y = -2, then the lines intersect at

Explanation:

Step1: Recall solution of linear system

A solution to a system of two linear equations with two unknowns (x and y) is the ordered pair (x, y) that satisfies both equations.

Step2: Relate solution to intersection point

The intersection point of two lines represented by a linear system is the point that lies on both lines, which is exactly the solution of the system. So if the solution is \( x = 3 \), \( y=-2 \), the intersection point is the ordered pair \( (3, - 2) \).

Answer:

\( (3, -2) \)