Question

find three solutions for the equation 2x + 7y = 9

Answer 1

Heyaaaaaaa ! Haiya =_=

∆ Finding General Solutions :

$2x + 7y = 9$

Isolating 7y :
$7y= 9 - 2x$

Isolating y :
$y = \frac{9 - 2x}{7}$

Assume a variable k :
$x = 7c + 1$
$y = 1 - 2c$

Now, one can easily change the values of 'c' for respective values of 'x' & 'y'

For c : 0 , 1 , 2 , the solutions are :

( x , y ) = ( 1 , 1 ) , ( 8 , -1 ) , ( 15 , -3 )