Question

Resolver por metodo de igualación

Answer 1

Respuesta:

1)

• 1 x+6y = 27

x=27-6y

• 7x-3y=9

7x=9+3y

x=(9+3y) : 1/7

x=x

27-6y = (9+3y) : 1/7

7(27-6y) = 9+3y

189-42y=9+3y

189-9=3y+42y

180=39y

180/39=y

x= 27-6y

x=27-6(180/39)

x=27-360/13

x=9/13

2)

• 9x+16y=7

9x=7-16y

x=(7-16y) : 1/9

• 4y-3x=0

-3x= -4y

x= -4y : (-1/3)

x= 4/3y

x=x

(7-16y) : 1/9 = 4/3y

7-16y = 9*4/3y

7-16y = 12y

7= 12y+16y

7= 28y

7/28 = y

1/4 =  y

x=(7-16y) : 1/9

x = [7-16(1/4)] : 1/9

x = (7-4*1) : 1/9

x = 3 : 1/9

x= 3/9

x= 1/3

2)

• 6x -18y= -85

6x= -85+18y

x = (-85+18y) 1/6

• 24x-5y=-5

24x=-5+5y

x=(-5+5y) : 1/24

x=x

(-85+18y) : 1/6 = (-5+5y) : 1/24

-85+18y= [(-5+5y) : 1/24] * 6

-85 + 18y = (-5+5y) : 1/4

(-85+18y)*4 = -5+5y

-340+72y = -5+5y

-5y+72y = -5+340

67y = 335

y = 335/67

y=5

x=(-5+5y) : 1/24

x = [-5+5*(5)] : 1/24

x= (-5+25) : 1/24

x= (20) : 1/24

x = 10/12

x= 5/6

4)

• 3x/2 + y= 11

y=11-3x/2

• x+y/2=7

y/2 = 7-x

y = (7-x) * 2

Y = 14-2x

x=x

11-3x/2 = 14-2x

-3x/2 + 2x = 14  - 11

1/2 x = 3

x = 3*2

x = 6

y = 14 - 2x

y = 14-2*(6)

y = 14-12

y = 2