Question

. Resuelve los siguientes sistemas de: a) ecuaciones lineales. 2x – 3y = 5
5x + 2y = 10

Answer 1

Respuesta:

2x – 3y = 5

5x + 2y = 10

Metodo de igualación

2x - 3y= 5

2x= 5 +3y

X= (5+3y)/2

5x +2y= 10

X= (10 - 2y)/5

(5 +3y)/2= (10 - 2y)/5

5(5+3y)= 2(10 - 2y)

25 +15y = 20 - 4y

15y +4y= 20 - 25

19y= 5

Y= - 5/19

X= (10 - 2y)/5

X= (10 - 2(-5/19)/5

X= (10+10/19)/5

X= (190/19+ 10/19)/5

X= 200/19)/5

X= 200/95

X= 40/19

Comprobamos

2x – 3y = 5

2(40/19) - 3(-5/19)= 5

80/19 +15/19= 5

95/19 =5

5=5.

Saludos❤️