Mathematics
7 Online
OpenStudy (anonymous):
is the equation -2(4-x)=2x-8 an identity
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jimthompson5910 (jim_thompson5910):
what do you get when you distribute -2(4-x)
OpenStudy (anonymous):
i dont know :(
jimthompson5910 (jim_thompson5910):
hint:
a*(b+c) = a*b + a*c
jimthompson5910 (jim_thompson5910):
that's the distributive property in general
OpenStudy (anonymous):
can you draw it
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OpenStudy (anonymous):
-8 - 2x thats what i got
jimthompson5910 (jim_thompson5910):
-2 times (-x) = +2x or just 2x
jimthompson5910 (jim_thompson5910):
so you should have
-8 + 2x
jimthompson5910 (jim_thompson5910):
that means
-2(4-x)=2x-8
turns into
-8 + 2x = 2x - 8
OpenStudy (anonymous):
ok how u get the positive sign
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jimthompson5910 (jim_thompson5910):
the negative on the -2
and the negative on the -x
they multiply to a positive
jimthompson5910 (jim_thompson5910):
(negative) times (negative) = positive
OpenStudy (anonymous):
ok but now what to do
jimthompson5910 (jim_thompson5910):
well since we can add two numbers in any order this means that
-8 + 2x
is really the same as
2x + (-8)
but that turns into
2x - 8
jimthompson5910 (jim_thompson5910):
so
-8 + 2x = 2x - 8
turns into
2x - 8
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OpenStudy (anonymous):
how
jimthompson5910 (jim_thompson5910):
I just showed how
jimthompson5910 (jim_thompson5910):
you swap the terms in -8 + 2x to get 2x - 8
OpenStudy (anonymous):
ok thanks
jimthompson5910 (jim_thompson5910):
hopefully it's making sense?
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OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
alright, that's great
OpenStudy (anonymous):
is 2x=3=7x a odentity or have no solution
OpenStudy (anonymous):
identity*
jimthompson5910 (jim_thompson5910):
there are too many equal signs
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OpenStudy (anonymous):
2x + 3 =7x
jimthompson5910 (jim_thompson5910):
try to isolate x and tell me what you get
OpenStudy (anonymous):
3 = 5x
jimthompson5910 (jim_thompson5910):
keep going
OpenStudy (anonymous):
i dont know the rest
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jimthompson5910 (jim_thompson5910):
you have
5x = 3
but you want something like
x = ....
OpenStudy (anonymous):
please tell me i dont know
jimthompson5910 (jim_thompson5910):
5x means 5 times x
jimthompson5910 (jim_thompson5910):
what undoes multiplication?
OpenStudy (anonymous):
i dont know
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jimthompson5910 (jim_thompson5910):
what operation is the opposite of multiplication?
OpenStudy (anonymous):
may you please understand i dont know understand none of this
jimthompson5910 (jim_thompson5910):
well something like subtraction is the opposite of addition
so ________ is the opposite of multiplication
OpenStudy (anonymous):
divide
jimthompson5910 (jim_thompson5910):
good, so you divide both sides by 5
5x = 3
5x/5 = 3/5
x = 3/5
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jimthompson5910 (jim_thompson5910):
so the solution to 2x + 3 =7x is x = 3/5
this is the only solution
OpenStudy (anonymous):
5(y-2) = -2(12-9y) +y