MEDAL AND FAN
What is the ratio of x to y?
3/2 =2x/2x+y
A. -3/2
B. -2/3
C. 2/3
D. 3/2
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OpenStudy (winsteria):
@AlexandervonHumboldt2 @iGreen
OpenStudy (igreen):
Wait..is this it?
\(\dfrac{3}{2} = \dfrac{2x}{2x + y}\)
OpenStudy (winsteria):
Yes
OpenStudy (igreen):
Cross multiply
OpenStudy (winsteria):
cross multiply what though?
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OpenStudy (winsteria):
@iGreen
OpenStudy (igreen):
3 * (2x + y) = 2 * 2x
OpenStudy (winsteria):
6 and 4?
OpenStudy (igreen):
Distribute 3 into the parenthesis.
3 * 2x = ?
3 * y = ?
OpenStudy (winsteria):
6x?
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OpenStudy (igreen):
Yep, what about 3 * y
OpenStudy (winsteria):
I don't know what y is though
OpenStudy (winsteria):
@iGreen
OpenStudy (winsteria):
@TheSmartOne
OpenStudy (winsteria):
@KendrickLamar2014
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OpenStudy (igreen):
3 * y = 3y
OpenStudy (igreen):
So we have:
6x + 3y = 2 * 2x
What's 2 * 2x?
OpenStudy (winsteria):
4x
OpenStudy (winsteria):
what's next?
OpenStudy (winsteria):
@iGreen
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OpenStudy (igreen):
We have:
6x + 3y = 4x
Subtract 6x to both sides, what's 4x - 6x?
OpenStudy (winsteria):
2x
OpenStudy (winsteria):
@iGreen
OpenStudy (igreen):
Actually that's negative, which gives us:
3y = -2x
Divide -2 to both sides:
\(-\dfrac{3}{2}y = x\)
Divide 'y' to both sides:
\(-\dfrac{3}{2} = \dfrac{x}{y}\)
So -3/2 is your answer.