SOLUTION: Solve the systems of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent 3u+v=16 3u=v+26

Question 145828: Solve the systems of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent

3u+v=16
3u=v+26
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
note: I'm replacing "u" with "x" and "v" with "y" so I can graph the equations.

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

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

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,-5)

So this means that the system is consistent and independent.
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