Mathematics
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OpenStudy (anonymous):
Help please!
B is the midpoint of line segment AC and D is the midpoint of line segment CE. Solve for x, given BD=3x+5 and Ae=4x+20.
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OpenStudy (anonymous):
|dw:1418279801323:dw|
OpenStudy (camper4834):
well i can tell you one thing for sure
lets say that the line BD is just B
and the line AE is just A
i know that B is one half of A
OpenStudy (camper4834):
and we know what B and A are
OpenStudy (anonymous):
How do I fully show my work for this problem?
\[(3x+5)=(4x+20)\div2\]
OpenStudy (camper4834):
nevermind!! XD
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OpenStudy (anonymous):
Yeah I didn't think I did XD
OpenStudy (camper4834):
idk why i did that!!! XD bad math you are right
OpenStudy (camper4834):
okay so you have it right now you just need to do algebra
OpenStudy (anonymous):
I've tried working it out, and for some reason it just ends up as a mess.
I only come here unless its true dire need lol
OpenStudy (camper4834):
\(3x+5=\frac{ 4x+20 }{ 2 } \)
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OpenStudy (camper4834):
\(3x+5=2x+10\)
OpenStudy (camper4834):
did you do this step?
show me what you did so i can see
OpenStudy (anonymous):
I subtract 5 from both sides, right?
OpenStudy (camper4834):
yup!
OpenStudy (camper4834):
so now we get \(3x=2x+5\)
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OpenStudy (anonymous):
Yeah, that's where I'm at.
OpenStudy (camper4834):
do you know that you can subtract 2x from both sides?
OpenStudy (camper4834):
what is 3x - 2x?
OpenStudy (anonymous):
1x, which is actually just x.
OpenStudy (camper4834):
and what is 2x - 2x
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OpenStudy (anonymous):
Nothing, they cancel each other out.
OpenStudy (anonymous):
Meaning x=5, right?
OpenStudy (camper4834):
yeah!
OpenStudy (anonymous):
Yhank you so much, I really appropriate that, huge help!
OpenStudy (camper4834):
no problem