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deverhardt
 2 years ago
Solve the equation for x. 1+((2x)/(x+3))=((2)/(x+2))
deverhardt
 2 years ago
Solve the equation for x. 1+((2x)/(x+3))=((2)/(x+2))

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deverhardt
 2 years ago
Best ResponseYou've already chosen the best response.0Multiply the equation by the LCD.

deverhardt
 2 years ago
Best ResponseYou've already chosen the best response.0Sorry I should have stated to solve the equation for x.

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1K, let's start again.....

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1What is it u want to do?

deverhardt
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1350674953315:dw

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1Yes, so what is it u want to do?

deverhardt
 2 years ago
Best ResponseYou've already chosen the best response.0Multiply (1), (2x/x+3), and (2x/x+2) by the LCD of (x+3) and (x+2).

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1OK, that is the long way around of solving for x. You will get to the same place at the end. I guess your teacher has told u to do it that way, right?

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1LCD of (x+3) and (x+2) is just (x+3)(x+2) I will leave you to it, it is not too hard to do.

deverhardt
 2 years ago
Best ResponseYou've already chosen the best response.0Okay. Thank you. I know the answer is (1,0). I just wanted to make sure I was on the right path.

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1U should also note that x=3 and x = 2 are not defined for this equation.

deverhardt
 2 years ago
Best ResponseYou've already chosen the best response.0Could you please explain the shorter way of doing this type of equation.

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1If you add the terms on the left side > (x3)/(x+3) = 2/(x+2) Cross multiply > (x3)(x+2) = 2(x+3) > x^2 x 6 = 2x  6 > x^2 + x = 0 > x( x +1) = 0 > x = 0 or 1

deverhardt
 2 years ago
Best ResponseYou've already chosen the best response.0Wow that is much quicker! Thank you so much

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1The other way reminds you that the original equation is not defined for x=3 and x = 2 But with some practice you will not need reminding....

deverhardt
 2 years ago
Best ResponseYou've already chosen the best response.0Could I use this shorter way for this equation as well? (see drawing)

deverhardt
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1350677688912:dw

deverhardt
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks. When I add the terms on the LHS I get (z+1) / (z6). Is this correct?

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1No, (z+1) + 1*(z6) / (z6) = (2z5) / (z6)
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