Question

2p+3q=13 ; 5p-4q=-2 by substitution method

Answer 1

Given,
2p+3q = 13
2p = 13-3q
p =(13-3q)/2 ......…..(i)
Substituting the value of p in 5p - 4q = -2
5((13-3q)/2)-4q = -2
(65 - 15q)/12 - 4q = -2
65 - 15q - 48q = -4
-63q = -69
q = 69/63
Then substitute the value of q in equation (I) and find the value of p

Answer 2

2p+3q=13-------(1)
2p=13-3q
p=13-3q/2-------(2)
5p-4q=-2-------(3)
sub (2)in (3)
5(13-3q/2)-4q=-2
65-15q/2-4q=-2
65-15q-8q=-4
-23q=-69
q=3
sub q=3 in (2)
p=13-3(3)/3
p=13-9/3
p=4/3