Question

Método de igualación

1.-
A)3x-2y=2
B)2x+3y=23

2.-
A) A) 5x - 8y= -14
B) 4x + 3y = 17

Answer 1

Explicación paso a paso:

3x-2y=2

2x+3y=23

---------------

3x=2+2y

x=(2+2y)/3

2x=23-3y

x=(23-3y)/2

(2+2y)/3 =(23-3y)/2

2(2+2y)=3(23-3y)

4+4y=69-9y

4y+9y=69-4

13y=65

y=65/13

y=5

Para x

x=(2+2y)/3

x=(2+2(5))/3

x=(2+10)/3

x=12/3

x=4

2)

5x - 8y= -14

4x + 3y = 17

---------------

5x= -14+8y

x=(-14+8y)/5

4x=17-3y

x=(17-3y)/4

(-14+8y)/5 = (17-3y)/4

4(-14+8y) = 5(17-3y)

-56+32y=85-15y

15y+32y=85+56

47y=141

y=141/47

y=3

Para x

x=(-14+8y)/5

x=(-14+8(3))/5

x=(-14+24)/5

x=10/5

x=2