SOLUTION: Sole the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent 3x-y=26 3x+4y=-14

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Start with the given system of equations:







In order to graph these equations, we need to solve for y for each equation.



So let's solve for y on the first equation

Start with the given equation


Subtract from both sides


Rearrange the equation


Divide both sides by


Break up the fraction


Reduce


Now lets graph (note: if you need help with graphing, check out this solver)


Graph of



So let's solve for y on the second equation

Start with the given equation


Subtract from both sides


Rearrange the equation


Divide both sides by


Break up the fraction


Reduce



Now lets add the graph of to our first plot to get:

Graph of (red) and (green)

From the graph, we can see that the two lines intersect at the point (6,-8)

So the system is consistent and independent