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Mathematics 13 Online
OpenStudy (anonymous):

can someone help me?

OpenStudy (anonymous):

OpenStudy (anonymous):

(1,-1) is a point that solves the system of given linear eq.

OpenStudy (anonymous):

(1,-1) is what I got the first time, I just want completely sure

OpenStudy (jdoe0001):

I get the same

OpenStudy (anonymous):

what about this one? I got (6,5)

OpenStudy (anonymous):

@jdoe0001

OpenStudy (jdoe0001):

looking

OpenStudy (jdoe0001):

\(\begin{matrix} y = \cfrac{1}{2}x +2\\ y = -x-1\\ \textit{multiplying the top by -1}\\ -y = -\cfrac{1}{2}x -2\\ y = -x-1\\ \hline\\ 0=-\cfrac{3}{2}x-3\\ \bf3= -\cfrac{3x}{2} \implies \cfrac{3 \cdot 2}{-3} = x \implies -2 = x \end{matrix}\)

OpenStudy (anonymous):

so h0w would i graph this?

OpenStudy (anonymous):

what abput this one?

OpenStudy (jdoe0001):

well, do the same, multiply the top by -1 and add

OpenStudy (anonymous):

im aving some trouble, can you walk me through it?

OpenStudy (jdoe0001):

\(\Large \begin{matrix} y & = & x\\ y & = & -x & +6\\ &&&&\textit{times -1 on the top one}\\ -y & = & -x& + 0\\ y & = & -x & +6\\ \hline\\ \square?&&\square?&\square? \end{matrix}\)

OpenStudy (jdoe0001):

keep in mind that in the elimination method, what matters is that we ELIMINATE one by providing a negative or inverse version atop or bottom, so when added together, they'd give 0

OpenStudy (jdoe0001):

well, it should be -0 atop but anyhow

OpenStudy (anonymous):

-y = -x + 6?

OpenStudy (jdoe0001):

hmm wait a second... we do have a -x....

OpenStudy (jdoe0001):

well, anyhow, I didn't need to do the -y, there's a -x at the bottom and that would have worked but that's ok

OpenStudy (jdoe0001):

well, what do you get for -y + y?

OpenStudy (jdoe0001):

-sameness + sameness = ?

OpenStudy (anonymous):

+y

OpenStudy (jdoe0001):

ok, let's see it in another way sameness - sameness =?

OpenStudy (jdoe0001):

4-4=0 2-2= 0 3-3=0 a-a= 0 b-b = 0 -4+4 = 0 -2+2=0 -y+y = 0

OpenStudy (jdoe0001):

\(\Large \begin{matrix} y & = & x\\ y & = & -x & +6\\ &&&&\textit{times -1 on the top one}\\ -y & = & -x& + 0\\ y & = & -x & +6\\ \hline\\ 0&=&\square?&\square? \end{matrix}\)

OpenStudy (jdoe0001):

that's the idea behind the elimination method, to ELIMINATE one of the variables

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