Mathematics
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OpenStudy (babybritt002):
need help step by step help needed
1/r-5=7/2r
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Vocaloid (vocaloid):
does your question look like this?|dw:1460497217908:dw|
OpenStudy (babybritt002):
yes @Vocaloid
Vocaloid (vocaloid):
start by cross multiplying
OpenStudy (anthonyym):
Use cross multiplication.
1*2r = 7(r-5)
Vocaloid (vocaloid):
^ know where to go from there?
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OpenStudy (babybritt002):
no @Vocaloid
Vocaloid (vocaloid):
distribute the 7.
7(r-5) = ?
OpenStudy (babybritt002):
so 7r+2
OpenStudy (babybritt002):
@Vocaloid
jhonyy9 (jhonyy9):
no multiplie 7 by -5 too
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Vocaloid (vocaloid):
not quite
Vocaloid (vocaloid):
how distribution works:
A(B-C) = A*B - A*C
so, following that same pattern, what is
7(r-5) = ?
OpenStudy (babybritt002):
7r-35
jhonyy9 (jhonyy9):
yes
Vocaloid (vocaloid):
good!
now we have
2r = 7r - 35
subtract 2r from each side. what do you get?
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OpenStudy (babybritt002):
so 5r-35
Vocaloid (vocaloid):
almost, don't forget the 0 on the left side
0 = 5r - 35
now add 35 to both sides
OpenStudy (jeansweets):
r=7
OpenStudy (babybritt002):
35=5r
Vocaloid (vocaloid):
good, now divide both sides by 5
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OpenStudy (jeansweets):
you have to solve the rational equation by combining expressions and isolating the varible r
OpenStudy (babybritt002):
ok so 35/5 = 7
OpenStudy (babybritt002):
so r=7
OpenStudy (babybritt002):
@Vocaloid
Vocaloid (vocaloid):
good
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OpenStudy (jeansweets):
yes