Final answer:
The solution to a system of linear equations with two variables can be expressed as an ordered pair, which represents the point of intersection between the lines represented by the equations.
Step-by-step explanation:
In a system of linear equations with two variables, the solution can be expressed as an ordered pair because we are dealing with equations that represent lines on a coordinate plane. Each equation corresponds to a line, and the solution to the system is the point where the lines intersect. This point is represented by an ordered pair (x, y) that satisfies both equations.
For example, let's say we have the system of equations:
2x + 3y = 7
x - 2y = 4
The solution to this system can be expressed as an ordered pair (x, y) where x = 2 and y = 1, since these values satisfy both equations.