Math, asked by singhsupriya0215, 7 months ago

x+y=17
a+b=13
x+a=19
y+b=15
find values of x,y,a and b​

Answers

Answered by manovirajpant
0

Step-by-step explanation:

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Answered by Isighting12
0

Answer:

y + b= 19

b = 19 - y

a + b = 13

a + 19 - y = 13

a = -6 + y

x + y = 17

x = 17 - y

x + a = 19

a = 19 - x

a - b - x = (- 6 + y) - (19 - y) - (17 - y)

19 - x - b - x = - 6 + y - 19 + y - 17 + y

19 - b - 2(17 - y) = - 46 + 3y

19 - b - 34 + 2y= - 46 + 3y

- b = -46 + 56 + y

- b = 10 + y

a + b + x = - 6 + y + 19 - y + 17 - y

a + x = 30 - y - b

a + 17 - y = 30 - y + 10 + y

a = 40 - 17 + y

a =  y + 23  

a - b + x = (- 6 + y) - (19 - y) + (17 - y)

a - b + x = - 6 + y - 19 + y + 17 - y

a - b + x = -25 + 17 + y

23 + y + 10 + y + x = - 8 + y  

25 + y = - x

a - b - x =  (- 6 + y) + (19 - y) - (17 - y)

y + 23 + 10 + y + 25 + y = - 6 + y + 19 - y - 17 + y

3y + 58 = y - 4

2y = - 62

y = - 31

-x = 25 + y

- ( 17 - y ) = 25 - 31

17 - y = 6

-y = - 11

y = 11.      ( this will be the actual value, as the other equation such as 25 + y

                    and etc which we found were not a part of the question)

now you can put the values and find the answer

b = 19 - 11

   = 8

x = 17 - 11

   = 6

a = 13 - b

   = 13 - 8

    = 5

I hope this helps...... and is correct

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