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Describing Solutions to Systems of Linear Equations

Describing Solutions to Systems of Linear Equations 1.5 - Solution

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Ron-Jon's imaginary friend is right (if it is possible that someone who does not exist can be right) in that the point of intersection is the solution. Thus by graphing the lines of the system Ron-Jon should be able to find the solution. Equation (I) has a slope of and Equation (II) has a slope of Since the lines have different slopes they must intersect and the system must have one solution. Let's help Ron-Jon by rewriting the graphs so he can see the point of intersection.

We see that the lines intersect at the point which is also the solution to the system.