no solutions
If a system of equations is represented by coinciding lines, it has infinitely many solutions. This occurs because every point on the line satisfies both equations, meaning that there are countless points that are solutions to the system. In this case, the two equations represent the same line in the coordinate plane.
infinitely many solutions :)
Yes.
One solution
no solutions
No Solutions
infinitely many solutions :)
Yes.
one solution
One solution
If you graph a system of two lines and all you see is one line, this means that both lines are the same. Any point on the line is a solution, so the system has an infinite number of solutions.
The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.
If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.
you have to look at the graph. find where the line crosses the x and y axis' and there is your solutions.
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
Graph of an equation.