SOLUTION: Solve the following equations: 4ax+by=11ab 8ax-5by=ab

Algebra ->  College  -> Linear Algebra -> SOLUTION: Solve the following equations: 4ax+by=11ab 8ax-5by=ab      Log On


   

Question 252703: Solve the following equations:
4ax+by=11ab
8ax-5by=ab
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
OUr original equations are:
(i)4ax+%2B+by+=+11ab
(ii) 8ax+-+5by+=+ab
--
STEP #1 - multiply (i) equations by 5
(iii) 20ax+%2B+5by+=+55ab
(ii) 8ax++-+5by+=+ab
--
STEP #2 - add down to eliminate by.
(v) 28ax = 56ab.
We must assume that a, b, x, and y are not all zero.
x = 2b.
-- STEP #3 - find y.
Y = 3a.