Question

Resolver en método de sustitución
3p+5q=7
2p-q=-4

Answer 1

Explicación paso a paso:

despejamos p de la primera:

p = (7 - 5q)/3

sustituimos en (2):

2 [ (7 - 5q)/3] - q = -4

( 14 - 10q)/3 - q = -4

14/3 - 10q/3 - q = -4

q + 10q/3 = 14/3 + 4

q(1 + 10/3) = 14/3 + 12/3

q ( 3/3 + 10/3) = 26/3

q(13/3) = 26/3

q(13) = 26/3 * 3

q(13) = 26

q= 26/13

q= 2

Sustituyendo q en (2):

2p - (2) = -4

2p = -4 +2

2p = -2

p = -2/2

p= -1