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

Question

answers:

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 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 points where the equations intersect, indicating the values of x and y that make both equations true simultaneously.

Answer 2

you sure

Answer 3

Yes, I am sure. In a system of equations, the solution represents the set of values (x, y) that satisfy all equations in the system simultaneously. When you graph the equations, the solution corresponds to the points where the lines intersect.

To summarize:

• If the system has a unique solution, it indicates one point of intersection.
• If the system has no solution, the lines are parallel and do not intersect.
• If the system has infinitely many solutions, the lines coincide (are the same line).

So the answer about the coordinates of the ordered pair(s) is indeed the correct interpretation of the solution to a system of equations.