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Mathematics 6 Online
OpenStudy (anonymous):

Solve the equation.

OpenStudy (anonymous):

|dw:1410845899909:dw|

OpenStudy (anonymous):

@campbell_st

OpenStudy (anonymous):

@texaschic101

OpenStudy (anonymous):

@adrynicoleb

OpenStudy (texaschic101):

is it : 5 / (x + 2) = x / 3 ??

OpenStudy (texaschic101):

hello ?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

its : 5 / x + 2 = x / 3

OpenStudy (texaschic101):

I believe you have a proportion 5 / (x + 2) = x / 3 cross multiply x(x + 2) = (3)(5) x^2 + 2x = 15 are you understanding this so far ?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

wait but its not a proportion? It says equation

OpenStudy (anonymous):

Solve\[x^2+2 x-15=0 \]for x.

OpenStudy (texaschic101):

exactly

OpenStudy (anonymous):

wait :3

OpenStudy (anonymous):

x = {-5, 3}

OpenStudy (anonymous):

@robtobey @texaschic101

OpenStudy (texaschic101):

we will continue.. x^2 + 2x = 15 x^2 + 2x - 15 = 0 (x + 5)(x - 3) = 0 x + 5 = 0 x = -5 x - 3 = 0 x = 3 so your answers are : x = -5 and x = 3

OpenStudy (anonymous):

So the final answer would be x = {-5, 3} ?

OpenStudy (texaschic101):

yep

OpenStudy (anonymous):

oh ok what about '' 2/y + 1/3 = 4/y''

OpenStudy (texaschic101):

2y + 1/3 = 4y --- subtract 2y from both sides 1/3 = 4y - 2y 1/3 = 2y -- divide both sides by 2 (1/3) / 2 = y 1/3 * 1/2 = y 1/6 = y any questions ?

OpenStudy (anonymous):

yeah so what would the final answer be?

OpenStudy (texaschic101):

y = 1/6

OpenStudy (anonymous):

tysm! (:

OpenStudy (texaschic101):

sure thing :)

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