Question

If a system of equations has infinite solutions what do you know about the graph

Answer 1

If a system of equations has infinite solutions, it means that the equations are dependent and represent the same line when graphed.

Step-by-step explanation:

If a system of equations has infinite solutions, it means that the equations are dependent, which means that one equation can be obtained by manipulating the others. This implies that the equations represent the same line or coincide with each other.

Graphically, this means that the equations will have the same slope and intercept, resulting in overlapping lines when graphed on a coordinate plane.

It's important to note that the analytical technique for solving this problem is potentially more accurate than the graphical technique because it involves solving equations algebraically, which guarantees an exact solution, while graphing can introduce errors and approximation.

Answer 2

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Step-by-step explanation: