How do you determine the
solution to a system of equations
when graphing? Is it possible to
have more than 1 solution when
graphing? Is it possible to have no
solutions? How?


  1. When graphing, the intersections of the graphs represent the solutions of the system.

    How to determine the solutions of a system by graphing?

    When graphing a system of equations, you just need to graph both equations in the same coordinate axis.
    The solutions of the system are all the points where the graphs of the two equations intersect.
    This means that if there is only one intersection, there is one solution.
    But we can have more than one intersection, like in the case where at least one of the equations is a polynomial of degree 2 or more.
    And there is also the case that the graphs never intersect, like in parallel lines, in these cases we have no solutions.
    If you want to learn more about systems of equations:


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