SOLUTION: Solve the systems of equations by graphing. Then classify the systems as consistant or inconsistant and as dependant or independant. 8x-6y=36 6y-8x=-36

Question 146610: Solve the systems of equations by graphing. Then classify the systems as consistant or inconsistant and as dependant or independant.
8x-6y=36
6y-8x=-36
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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

Start with the second equation.

Add to both sides.

Divide both sides by to isolate .

Break up the fraction and rearrange the terms

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 are the same. So there are an infinite number of solutions

So the system is consistent and dependent.
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