Review #2

Question

What is the solution to a system of equations telling us?

The number of spaces you move to get from one line to the other.

The plotted points for only one of the lines or equations.

The coordinates of the ordered pair(s) that satisfy both equations in the system. In other words, the values of x and y that will make the equations true. Also, when a system of equations is graphed, the solution will be all points of intersection of the graphed lines.

It doesn't tell us anything. There is never a solution.

Answer 1

The correct answer to the question "What is the solution to a system of equations telling us?" is:

The coordinates of the ordered pair(s) that satisfy both equations in the system. In other words, the values of x and y that will make the equations true. Also, when a system of equations is graphed, the solution will be all points of intersection of the graphed lines.

This means that the solution represents the values of the variables that make all equations in the system true simultaneously, and when represented graphically, the solutions correspond to the points where the lines intersect.