SOLUTION: I hope you can help me solve this problem! Solve for a in terms of b and c, assuming b is not equal to 3. ab = 3a + 2b + c. Thank you so much!

Algebra ->  Linear-equations -> SOLUTION: I hope you can help me solve this problem! Solve for a in terms of b and c, assuming b is not equal to 3. ab = 3a + 2b + c. Thank you so much!      Log On


   

Question 958332: I hope you can help me solve this problem!
Solve for a in terms of b and c, assuming b is not equal to 3.
ab = 3a + 2b + c.
Thank you so much!
Found 2 solutions by josgarithmetic, macston:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You first want all terms of a on one side of the equality symbol.

ab%2B%28-3a%29=3a%2B2b%2Bc%2B%28-3a%29
ab%2B%28-3a%29=3a%2B%28-3a%29%2B2b%2Bc
ab%2B%28-3a%29=0%2B2b%2Bc
a%28b%2B%28-3%29%29=2b%2Bc
a=%282b%2Bc%29%2F%28b%2B%28-3a%29%29
highlight%28a=%282b%2Bc%29%2F%28b-3a%29%29

Most people would be much less formal, and shorten this solution process to three steps.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
ab = 3a + 2b + c
ab-3a=2b%2Bc
a%28b-3%29=2b%2Bc
a=%282b%2Bc%29%2F%28b-3%29