Respuesta :

Answer:

x=4, y=1

Step-by-step explanation:

3.6x + 1.6y = 16

1.2x+3.2y = 8

Multiply the first equation by -2

-2(3.6x + 1.6y) = 16*-2

-7.2x -3.2y = -32

Add this to the second equation to eliminate y

-7.2x -3.2y = -32

1.2x+3.2y = 8

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

-6x = --24

Divide each side by -6

-6x/-6 = -24/-6

x=4

Now to find y

Multiply thesecond equation by -3

-3(1.2x+3.2y) = 8*-3

-3.6x -9.6y = -24

Add this to the first equation

-3.6x -9.6y = -24

3.6x + 1.6y = 16

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

  -8y = -8

Divide each side by -8

y = 1

Answer:

x = 4 ; y=1

Step-by-step explanation:

3.6x + 1.6y = 16  -------------(i)

1.2x + 3.2y = 8 ---------------(ii)

Multiply equation (ii) by (-3).

(i)                3.6x + 1.6y = 16

(ii)*(-3)       -3.6x - 9.6y = -24      { Now add. Thus x will be eliminated}

                          -8.0 y = -8

                                  y = -8/-8

y =1

Put y = 1 in equation (i)

3.6x + 1.6*1 = 16

3.6x + 1.6 = 16

 3.6x   = 16 - 1.6

  3.6x = 14.4

[tex]x = \frac{14.4}{3.6}\\\\x = 4\\[/tex]

x = 4