So, I was trying to help somebody today and I forgot how to solve this:
((3x - 4) / 10) - (( x - 3) / 5) = (7/2)
Will the SEN Team be able to defeat this problem for me
?
Post has been edited 1 time(s), last time on Jun 1 2010, 8:57 pm by Shocko.
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lol that's it?
3x - 4 - (x - 3) = 7; set up the equation
3x - 4 - x + 3 = 7; distribute the negative one
3x - x + 3 - 4 = 7; associative property of addition
2x - 1 = 7; simplify
2x = 8; add one to both sides
x = 4; divide by 2 on both sides
Does I get cookie?
None.
3x - 4.....x - 3........7
____...-...____..= ____
10........... 5 .........2
((3x - 4) / 10) - (( x - 3) / 5) = (7/2)
(3x - 4 - 2x + 6) / 10 = (7/2)
(x + 2) / 10 = (7/2)
x + 2 = 35
x = 33
Post has been edited 1 time(s), last time on Jun 1 2010, 8:54 pm by ClansAreForGays. Reason: added orginal equation
3x - 4.....x - 3........7
____...-...____..= ____
10........... 5 .........2
Is this all you've been given or does the assignment actually specify what you have to do? >_<Just realized that the underscores are division signs after reading CAFG's post. If that's the case, Look at CAFG's post.
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I believe he just fails at showing us division.
I wanted to set it out as close to the original as possible, I could have done the '((3x - 4) / 10) - (( x - 3) / 5) = (7/2)' but didn't want to change it, but once I realised it's actually clearer to read, I used yours. Could you explain the steps CAFG?
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Yea, to explain a bit more: you bring the two fractions on the left hand side to a common denominator to add/subtract them and then deal with an equation of the form a/b = c/d like you normally would. Reducing simple equations with fractions to that form is the way to go in most cases.
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I tried that but I wasn't sure what rules applied.
I figured you'd * 2 to have a common denominator but why does it not affect the other side? My friend needs to understand for her GCSE exams
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wait, sorry the equation is
((3x - 4) / 10) + (( x - 3) / 5) = (7/2)
not
((3x - 4) / 10) - (( x - 3) / 5) = (7/2)
None.
3x - 4.....x - 3........7
____...-...____..= ____
10........... 5 .........2
((3x - 4) / 10) - (( x - 3) / 5) = (7/2)
(3x - 4 - 2x + 6) / 10 = (7/2)
(x + 2) / 10 = (7/2)
x + 2 = 35
x = 33
Oh shit that was a division bar?
The answer is 33, and I showed more proof if you need it:
EDIT: Picture now with the right equation.
Post has been edited 1 time(s), last time on Jun 1 2010, 9:13 pm by Sacrieur.
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As I said, it's + ((x - 3) / 5) rather than - ((x - 3) / 5)
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Edited post with the right equation.
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x=9
too lazy to type up the work
You guys are good people -- sometimes
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You can multiply the numerator and the denominator of any individual fraction by any number (except 0) at any time. So you can transform 1/2 into 2/4 or 6/12 this way. Same thing was done to the (( x - 3) / 5) fraction: it was transformed into ((2x - 6)/10).
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another question here:
Prove that:
((x - 3) / x) - ((x - 2) / (x+2)) = ((x + 6) / (x (x +2)))
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another question here:
Prove that:
((x - 3) / x) - ((x - 2) / (x+2)) = ((x + 6) / (x (x +2)))
I keep getting x-6 = x+6 are you sure you typed it right?
I forgot to mention that the equal sign is the one with three lines -- apparently that means 'The same as'
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another question here:
Prove that:
((x - 3) / x) - ((x - 2) / (x+2)) = ((x + 6) / (x (x +2)))
The general idea is to multiply the first fraction through by (x+2) and the second fraction by (x) and then add them up.
Shocky, you're hopeless. >_<
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Blame my parents, I wanted to do academic math but they said 'They may use different terms than we did in England, you should do foundations' and so I was put in the dumb course even though I was actually really good at math when I left england
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