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hlilly2413
 one year ago
How to solve for Y when Y/20+Y * 100 = 40. I haven't done this in so long and am floored as to what to do when the unknown variable appears twice on the same side of the equation. Please help.
hlilly2413
 one year ago
How to solve for Y when Y/20+Y * 100 = 40. I haven't done this in so long and am floored as to what to do when the unknown variable appears twice on the same side of the equation. Please help.

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jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf \cfrac{y}{20}+y\cdot 100=40?\)

phi
 one year ago
Best ResponseYou've already chosen the best response.0there are a few ways to tackle this. one way is to multiply both sides (and all terms) by 20 as the first step. can you try doing that ?

hlilly2413
 one year ago
Best ResponseYou've already chosen the best response.0@jdoe0001 it's 20+Y under the Y then * 100 = 40. @phi So 20(y/20+y) and then 20(100) and 40(20)? sooo 20Y over 400+20Y *2000 = 800 would be the new equation?

phi
 one year ago
Best ResponseYou've already chosen the best response.0are you saying the problem is \[ \frac{y}{20+y} \cdot 100 = 40 \] ?

phi
 one year ago
Best ResponseYou've already chosen the best response.0in that case, we should start by multiplying both sides by (20+y)

hlilly2413
 one year ago
Best ResponseYou've already chosen the best response.0Alright, I think I understand that by doing so it would cancel out the 20+y on the left. Do I also multiply the 100 by 20+y?

phi
 one year ago
Best ResponseYou've already chosen the best response.0when you multiply a fraction times a whole number you do \[ \frac{2}{3} \cdot 4= \frac{2}{3} \cdot \frac{4}{1} = \frac{2\cdot 4}{3\cdot 1} \] you multiply top times top and bottom times bottom so the 100 is actually multiplying the top y

phi
 one year ago
Best ResponseYou've already chosen the best response.0you should get \[ 100y= 40(y+20) \]

phi
 one year ago
Best ResponseYou've already chosen the best response.0now "distribute the 40" that means 40 times each term inside the parens

hlilly2413
 one year ago
Best ResponseYou've already chosen the best response.0Ok after I asked the question regarding the 100 I did not multiply it by 20 +Y. Thank you for the information there. I did end up getting 100y = 800 + 40Y and can def. take it from there. Thank you very much for your assistance @phi I appreciate it.
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