How do you solve a system of equations on a graphing calculator?Īll systems have different ways of working. Lines are equal, then we have infinite solutions. If not, see if they parallel and different, in which case there are no solutions.

Slopes, in which case you have a unique solution.

Then, you look at the graph and assess whether the lines intersect at one point only (which happens if the lines have different So, the methodology is simple: You start with a linear system, and the first thing you do is to graph the two Solving Systems of equations by graphing answers Points do you have? Yes, your guess right: you have infinite intersection points, which means that you have infinite solutions. There is a third case that can also happen: The lines could be parallel but actually identical (this is, they are the same line). The rule is clear: when there is no intersection between the lines, there is no solution to the system. What happens if the intersection does not exist? That would be case if the lines are parallel without being the same line, in which case, there is no Points between two lines, using the observation that the intersection point of the line (if it exists) will the solution of the system. The graphing method consists of representing each of the linear equations as a line on a graph. Systems (with more variables and equations) also are common, here focus only on 2x2 systems, because those we can graph. Such two-by-two systems often appear when solving word problems, proportion problems and assignment problems with constraint. The most commonly found systems in basic Algebra coursesĪre 2 by 2 systems, which consist of two lines equations and two variables. Systems of linear equations are very commonly found in different context of Algebra. More about the graphing method to solve linear systems

Grpahing equation systems