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Having a brain fart... easy problem
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I need to solve for y \[x = \frac{ y + 5 }{ y + 10 }\]
do I want to multiply by (y + 10)?
\[x(y + 10) = y + 5\]
subtract the y and divide by x?
I do not think I would want to do that.
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\[\frac{ y+5 }{ y+10}=x \rightarrow xy+10x = y+5 \rightarrow 10x -5 =y+xy \rightarrow 10x-5 = y(x+1) \]
It keeps going can you see it now?
\[y = \frac{ 10x - 5 }{ x + 1}\]
x-1, I think it's good to double check.
gotcha thanks!
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it should be 5 - 10x
Yeah, it should factor out nicely \[\frac{ y+5 }{ y+10 }=x \rightarrow y+5=xy+10x \rightarrow y = (10x-5)/(1-x)\]
Something like that.
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