The solution to a system of two linear equations is x = 3; y = 9.
How could the intersection of the graphs of the two equations be located on a coordinate grid? Response area
What does the solution to a system of two linear equations mean on the graph? Response area
Can you have more than one solution to a Linear system of equations? Response area
Can you have exactly two solutions to a Linear system of equations? Response area
Can you have no solutions to a Linear system of equations? Response area
How could the intersection of the graphs of the two equations be located on a coordinate grid?
The intersection of the graphs of two equations in a system of linear equations is where the two lines intersect and share a common point. On a coordinate grid, this point would be represented by the x and y values that satisfy both equations at the same time.
What does the solution to a system of two linear equations mean on the graph?
The solution to a system of two linear equations represents the point at which the two lines intersect on the graph. This point is the solution that satisfies both equations simultaneously.
Can you have more than one solution to a Linear system of equations?
Yes, a linear system of equations can have infinite solutions if the two equations represent the same line, meaning they are equivalent. In this case, every point on the line would be a solution to the system.
Can you have exactly two solutions to a Linear system of equations?
No, a linear system of equations will either have no solution, one solution, or infinite solutions. It cannot have exactly two solutions.
Can you have no solutions to a Linear system of equations?
Yes, a linear system of equations can have no solutions if the two lines represented by the equations are parallel and never intersect.