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OpenStudy (anonymous):
1/t-2 = t/8
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OpenStudy (anonymous):
Is the -2 on the bottom?
OpenStudy (anonymous):
The t-2 is all on the bottom
OpenStudy (anonymous):
Whenever you have a fraction = fraction you can cross multiply.
1 * 8 = (t - 2) * t
OpenStudy (anonymous):
8 = t^2 - 2t
OpenStudy (anonymous):
0 = t^2 - 2t - 8
0 = (t - 4)(t + 2)
t = 4 or t = -2
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OpenStudy (anonymous):
Thank You
OpenStudy (anonymous):
What about when you add another number into the equation?
4/3(c+4) + 1 = 2c/(c+4)
OpenStudy (anonymous):
Common denominator is 3(c + 4) so you put that on top of each term.
3(c+4)*4 3(c+4)*1 2c
------- + = -------
3(c+4) c + 4
OpenStudy (anonymous):
Oops I missed the last term 3(c+4)*2c
--------
c+4
OpenStudy (anonymous):
4 + 3c + 12 = 6c
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OpenStudy (anonymous):
3c + 16 = 6c
OpenStudy (anonymous):
16 = 3c
OpenStudy (anonymous):
16/3 = c
c = 16/3 or 5 1/3
OpenStudy (anonymous):
ok thank you
1 more
OpenStudy (anonymous):
(a/a+3) = (2a/a-3) -1
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OpenStudy (anonymous):
Common denominator of (a + 3)(a - 3) so put that on top of every term
OpenStudy (anonymous):
(a + 3)(a - 3)a (a + 3)(a - 3)*2a (a + 3)(a - 3)*1
------------ = -------------- - --------------
(a + 3) (a - 3)
Cancel the bottoms into the top
OpenStudy (anonymous):
thank you so much for your help
OpenStudy (anonymous):
(a - 3)a = (a + 3)2a - (a + 3)(a - 3)
a^2 - 3a = 2a^2 + 6a - (a^2 - 9)
a^2 - 3a = 2a^2 + 6a - a^2 + 9 distribute the - sign
a^2 - 3a = a^2 + 6a + 9 add like terms
-3a = 6a + 9 subtract a^2 from both sides
-9a = 9 subtract 6a from both sides
a = -1
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