Week 11

 Week 11:

Math 108 For the Real World


A system of equations is a list of two or more equations that use the same input and output variables.

From the graph it looks like the lines are parallel, which means they will never cross. We can see from the equations that the lines are parallel because the two lines have the same slope. This means that there is no x,y pair that will satisfy both equations and thus there is no solution to this system of linear equations. When there is no solution to a system of equations we say that the system of equations is inconsistent

*We won't see a dependent system in Math 108

*Use the substitution method

*Non-linear systems (quadratic) can have three solutions to this system of equations because the graphs intersect at three different points

y=10.893x+217.7y=5.8929x+5803.9

Jeff and Lucas use substitution to solve the system of equations. Because both equations are already solved for y, they can set the equations equal to each other and solve for x:

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