Question

5p-3q=21 5p+q=15 metodo reduccion

Answer 1

METODO DE REDUCCION:

5p-3q=21
5p+q=15

5p-3q=21
-1×5p-1×q=-1×15

5p-3q=21
-5p-q=-15

-4q=6
q=-6/4
q=-3/2

5p+(-3/2)=15
10p-3=30
10p=33
p=33/10

Comprobemos:

5(33/10)-3(-3/2)=21
5(33/10)+(-3/2)=15

33/2+9/2=21
33/2-3/2=15

42/2=21
30/2=15

21=21
15=15

AL TENER LA IGUALDAD CORRECTA

p=33/10
q=-3/2