Question

Solve for x and y:
(x+y-8)/2 = (x+2y-14)/3 = (3x+y-12)/11
.
Maths Class 10
chapter 3

Answer 1

Here is ur answer:

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

Hope this will help uh ❤

Answer 2

⏩Hey mate❤

Given here

(x+y-8)/2 = (x+2y-14)/3 = (3x+y-12)/11

Find here

value of x and y =❓❓

Solution:-

take first and second term

so,

(x+y-8)/2 = (x+2y-14)/3

=>3x+3y-24 = 2x+4y-28

=>x-y= - 4. ....(1)

Now,

take first and third term

(x+y-8)/2 = (3x+y-12)/11

=>11x+11y-88 = 6x+2y-24

=>5x+9y= 64. ...........(2)

Now , by equation (1) and (2)

multiple by 5 in (1) and subtract by (2)

we get,

5x-5y= -20

5x+9y=64

Subtract its

-14y= - 84

=>y= -84/-14

=>y= 6

by equation (1)

x-6=-4

=>x= -4 +6

=>x= 2

Thus:--

➡Value of x= 2

And. y= 6

⏩Hopes its helps u

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