Solve an equation: 4x - y = 32, 4x + 5y = -6

timone62

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Feb 16, 2008
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I am new to this part of algebra and need some clarification of a problem, which is: Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.

4x-y=32
4x+5y=-6

What is the solution of the system of equations?

This is as far as I could get.

y=4x+16
 
Re: Solve an equation

when you solve by graphing, graph your two lines and put a point where the intersection is.
label it with (x,y)

i find it helpful to later solve by substitution, etc. to make sure you get the right point.

This is as far as I could get.

y=4x+16


I don't see how you got that. But here's what you do.

Get both equation in \(\displaystyle y = mx + b\) so you can easily graph it.

So: \(\displaystyle -y = -4x + 32 \Rightarrow y = 4x - 32\)

\(\displaystyle 4x + 5y = - 6 \Rightarrow 5y = -4x - 6 \Rightarrow y = - \frac{4}{5}x - \frac{6}{5}\)

Now graph them. Use whatever method to check your answer.

This is what you should get:

timone62dh7.png
 
timone62 said:
4x-y=32
4x+5y=-6
This is as far as I could get.
y=4x+16
HOW did you ever get that? You need classroom help: can't provide that here.
 
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