Question

Solve the flowing system of equation –
x+y-8 / 2 = x+2y-14/8 = 3x+y-12/6

Answer 1

given ,

x + y - 8/2 = x + 2y - 14/8 = 3x + y - 12/6

x + y - 8/2 = x + 2y - 14/8

8(x + y - 8) = 2(x + 2y - 14)

8x + 8y - 64 = 2x + 4y - 28

8x - 2x = 4y - 8y - 28 + 64

6x + 4y = 36

3x + 2y = 18---------------( 1 )

x + 2y - 14/8 = 3x + y - 12/6

6(x + 2y - 14) = 8(3x + y - 12)

6x + 12y - 84 = 24x + 8y - 96

24x - 6x + 8y - 12y - 96 + 84 = 0

18x - 4y - 12 = 0

9x - 2y = 6---------------( 2 )


From----------( 1 ) & ----------( 2 )

3x + 2y = 18
9x - 2y = 6
------------------
12x = 24

x = 24/12

x = 2 [ put in--------( 1 ) ]


we get,

3x + 2y = 18

3(2) + 2y = 18

2y = 18 - 6

2y = 12

y = 12/2

y = 6

hence, x = 2 , y = 6