Linear equations

Asked by khushal305 | 16th Nov, 2009, 06:59: PM

Expert Answer:

The pair of linear equation is:

2x + 3y = 7          ......................(1)

a( x + y) -b( x - y) = 3a + b - 2      .................(2)

Now simplifying equation (2), we get

ax + ay - bx + by = 3a + b - 2

(a-b) x + (a + b) y = 3a + b -2   ...............(3)

Now equation (1) and (3) will have infinite number of solution if

2 / (a-b) = 3/ )a+b) = 7/ (3a + b -2)    ..............(4)

Further simplification of 4 gives

a = 5b and a - 2b = 3

which on solving gives the values as a = 5 and b =1.

 

Answered by  | 17th Nov, 2009, 11:01: AM

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