can someone help me?
(1,-1) is a point that solves the system of given linear eq.
(1,-1) is what I got the first time, I just want completely sure
I get the same
what about this one? I got (6,5)
@jdoe0001
looking
\(\begin{matrix} y = \cfrac{1}{2}x +2\\ y = -x-1\\ \textit{multiplying the top by -1}\\ -y = -\cfrac{1}{2}x -2\\ y = -x-1\\ \hline\\ 0=-\cfrac{3}{2}x-3\\ \bf3= -\cfrac{3x}{2} \implies \cfrac{3 \cdot 2}{-3} = x \implies -2 = x \end{matrix}\)
so h0w would i graph this?
so x = -2, and y = 1/2(-2)+2 => y = 1 (-2, 1) http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIxLzJ4KzIiLCJjb2xvciI6IiNFMzI0MjQifSx7InR5cGUiOjAsImVxIjoiLXgtMSIsImNvbG9yIjoiIzYzMzFFMCJ9LHsidHlwZSI6MTAwMH1d
what abput this one?
well, do the same, multiply the top by -1 and add
im aving some trouble, can you walk me through it?
\(\Large \begin{matrix} y & = & x\\ y & = & -x & +6\\ &&&&\textit{times -1 on the top one}\\ -y & = & -x& + 0\\ y & = & -x & +6\\ \hline\\ \square?&&\square?&\square? \end{matrix}\)
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
well, it should be -0 atop but anyhow
-y = -x + 6?
hmm wait a second... we do have a -x....
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
well, what do you get for -y + y?
-sameness + sameness = ?
+y
ok, let's see it in another way sameness - sameness =?
4-4=0 2-2= 0 3-3=0 a-a= 0 b-b = 0 -4+4 = 0 -2+2=0 -y+y = 0
\(\Large \begin{matrix} y & = & x\\ y & = & -x & +6\\ &&&&\textit{times -1 on the top one}\\ -y & = & -x& + 0\\ y & = & -x & +6\\ \hline\\ 0&=&\square?&\square? \end{matrix}\)
that's the idea behind the elimination method, to ELIMINATE one of the variables
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