Posted by Mayank on Monday, July 16, 2012 at 2:33am.
3X+7Y+5=0.,..,..,.,..(1)
4X-3Y-8=0..,,..,.,...,..(2)
From (1) x=(-5-7y)/3..,..,..(3) put into equ (2) for x ; (-20-28y)/3-8=0 ; y=31/28=1.1 put into equ 3 for y
x=(-5-7.7)/3=-4.2
-4.2p +1.1-1=0 ; p=-0.1/-4.2
p=0.024
first times 3 ---> 9x + 21y = -15
2nd times 7 ---> 28x - 21y = 56
add them
37x = 41
x = 41/37
sub into 1st:
3(41/37) + 7y = -5
7y = -5 - 123/37 = -308/37
y = -44/37
then if px + y = 1
p(41/37) - 44/37 = 1
p = (1 + 44/37)(37/41) = 81/41
I verified the above answers, they satisfy the original equations.
37-32-2-47-81