Mathematics
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OpenStudy (anonymous):
I have another order pair.. anyone mind helping me out?
4x+y=0
8x-y=6
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jimthompson5910 (jim_thompson5910):
you can add the equations to get
4x+y=0
8x-y=6
--------
12x + 0y = 6
so
12x = 6
jimthompson5910 (jim_thompson5910):
if 12x = 6, then what is x ?
jimthompson5910 (jim_thompson5910):
you'll notice that with elimination and substitution, the goal is to get rid of one variable so you can solve for the other
OpenStudy (anonymous):
2?
jimthompson5910 (jim_thompson5910):
no, but close
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jimthompson5910 (jim_thompson5910):
you would divide both sides by 12 to isolate x
OpenStudy (anonymous):
Oh, okay so I'll have to divide 12 from 6 right?
jimthompson5910 (jim_thompson5910):
yes
12x = 6
x = 6/12
x = 1/2
jimthompson5910 (jim_thompson5910):
now use that to find y
OpenStudy (anonymous):
How would I do that?
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OpenStudy (anonymous):
:O
jimthompson5910 (jim_thompson5910):
pick any equation you want and plug x = 1/2 into it
jimthompson5910 (jim_thompson5910):
so let's pick the first equation
jimthompson5910 (jim_thompson5910):
4x+y=0
4*(1/2)+y=0
4/2 + y = 0
2 + y = 0
y = ??
OpenStudy (anonymous):
Hmm, I'm a bit confused how would I answer this? :/
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jimthompson5910 (jim_thompson5910):
if 2+y = 0, then what is y?
OpenStudy (anonymous):
would it be a negative number?
jimthompson5910 (jim_thompson5910):
yes it would be
OpenStudy (anonymous):
ahhh, sorry i'm horrible at math!
jimthompson5910 (jim_thompson5910):
you're ok, what do you get for y?
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jimthompson5910 (jim_thompson5910):
and this is why you practice practice practice
OpenStudy (anonymous):
if you want to get rid of a number from one side add the opposite of it to both sides of the equation...
jimthompson5910 (jim_thompson5910):
if it helps at all, think of 2+y as y+2
OpenStudy (anonymous):
sorry, i'm confused..... :(
jimthompson5910 (jim_thompson5910):
2+y = 0
y+2 = 0
how do you undo that +2
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OpenStudy (anonymous):
-2?
OpenStudy (anonymous):
??
jimthompson5910 (jim_thompson5910):
yep you subtract 2 from both sides
jimthompson5910 (jim_thompson5910):
to get y = -2
OpenStudy (anonymous):
so, the answer for y will be -2?
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jimthompson5910 (jim_thompson5910):
correct, the ordered pair is (1/2, -2)
OpenStudy (anonymous):
Thank you so much! but one more question can I reduce the fraction or is that the lowest it'll be lol just curious
jimthompson5910 (jim_thompson5910):
1/2 is as reduced as it gets
OpenStudy (anonymous):
Oh, okay! Thank you so much for the help!!!
jimthompson5910 (jim_thompson5910):
sure thing