SOLUTION: a(y-c) =b(y-c) solve for y

Question 1045123: a(y-c) =b(y-c) solve for y
Found 2 solutions by jim_thompson5910, ikleyn:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Distribute

Subtract b*y from both sides

Add a*c to both sides

Factor (ie, follow the distribution rule in reverse)

Divide both sides by (a-b) to isolate y

Notice how the (a-b) terms cancel

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So the final answer is

Note: to avoid dividing by zero

Answer by ikleyn(52815) (Show Source): You can put this solution on YOUR website!
.
a(y-c) =b(y-c) solve for y
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Answer. If a =/= b, then the only solution is y = c. If a = b, then any "y" is the solution (infinitely many solutions).

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