SOLUTION: solve t a-t --- = c b-t

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Question 695496: solve t
a-t
--- = c
b-t
Found 2 solutions by vleith, mouk:
Answer by vleith(2983) About Me  (Show Source):
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
+%28a-t%29%2F%28b-t%29+=+c+
First multiply by (b-t) to remove the denominator:
+%28a-t%29+=+c%28b-t%29+
Next multiply out:
+a-t+=+cb+-+ct+
Collect term on t on the LHS:
+-t+%2B+ct+=+cb+-+a+
Factorise out the t term:
+t%28c-1%29+=+cb+-+a+
and divide by non-t terms:
+t+=+%28cb+-+a%29%2F%28c-1%29+