how do u solve -x + 6y=-24?

y = (1/6)x - 4

-x + 6y=-24
if ax +by=c
and (x0,yo) is a particular solution
then a general solution is
x= x0 + bk
y= yo -ak
for any integer k
Finding a particular solution,from the diophantine equation -x + 6y =-24
take xo = 0,as particular solution
so -0 +6yo=-24~~~> yo=-24/6 = -4
--> (xo,yo)= (0,-4) is a particular solution
and the general solution is
****x= 0 +6k ,for any integer k
*****y= -4 + k
check
-x +6y=-24
-6k + 6*(-4+k) = -6k -24 +6k =-24 ok

You need another equation to solve this simultaneously.