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Mathematics 19 Online
OpenStudy (vshiroky):

help

OpenStudy (vshiroky):

OpenStudy (anonymous):

why don't you say what you think the answer is before i do it

OpenStudy (vshiroky):

x=0?

OpenStudy (anonymous):

no

OpenStudy (vshiroky):

-54

OpenStudy (vshiroky):

I multiplied the top by 9

OpenStudy (anonymous):

it looks suspiciously like both of those lines have the same slope

OpenStudy (anonymous):

yes, good start

OpenStudy (vshiroky):

and got 54x-18y=45 so the 45 and -18y cancel

OpenStudy (anonymous):

what do you get exactly when you add them up?

OpenStudy (vshiroky):

I got 108x=0

OpenStudy (anonymous):

right both the \(x\) terms and the \(y\) terms go so on the left you have \(0\)

OpenStudy (anonymous):

second one is \(-54x+18y=-45\) when you add, the \(x\)'s add up to zero as well, not to \(108x\)

OpenStudy (vshiroky):

whoops I wrote it as positive

OpenStudy (vshiroky):

so if everything cancels then its all just 0?

OpenStudy (anonymous):

i think that was your mistake you should end up with \(0=0\) which means they are the same line

OpenStudy (vshiroky):

So that would mean there are infinite solutions?

OpenStudy (anonymous):

if you bother to solve both of those equations for \(y\) you will see that you get the same thing they are the same line so yes, an infinite number of solutions

OpenStudy (vshiroky):

This is starting to make sense haha

OpenStudy (anonymous):

good

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