SOLUTION: Solve the system by graphing. Then graphify the system consistant or inconsistant and as dependent or independent. 5x - 8y = -40 5y

SOLUTION: Solve the system by graphing. Then graphify the system consistant or inconsistant and as dependent or independent. 5x - 8y = -40 5y - 8x = 40 Will someone please help with

Question 140987: Solve the system by graphing. Then graphify the system consistant or inconsistant and as dependent or independent.
5x - 8y = -40
5y - 8x = 40
Will someone please help with this one. It is independent right? And Consistant? Or am I totally wrong if so WHY????
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the second equation

Rearrange the terms

So we now have the 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

Add to 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)

With help from a graphing calculator, we can see that the two lines intersect at the point (,)

This means that system is independent and consistent. So you are correct.
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