SOLUTION: Solve the systems of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent y=-x-9 5x-4y=-27

Question 145825: Solve the systems of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent
y=-x-9
5x-4y=-27
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Notice how the first equation is already in y form

So 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 (-7,-2)

So this means that the system is consistent and independent.
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