Question

Find the solution of the equation 19x+17y=55, 17x+19y=53.

Answer 1

Answer:

Step-by-step explanation:

heya mate

here is ur answer

(19x - 17y) +(17x-19y) =55 + 53

36x - 36y = 108

x-y=3.....(1)

now,

(19x - 17y) - (17x-19y) =55 - 53

2x + 2y =2

x+y=1....(2)

from (1)+(2)=>2x=4

=>x=2

therefore y =-1 ....(from 1)

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ARMY....

Answer 2

x =2 and y =1 is the solution of the equation 19x+17y=55, 17x+19y=53

Given:

19x+17y=55

17x+19y=53

To Find:

Value of x and y

Solution:

Step 1 :

Add both Equations:

19x+17y + 17x+19y = 55 + 53

=> 36x + 36y = 108

Divide both sides by 36

=> x + y = 3   EqA

Step 2 :

Subtract  Equations:

19x+17y -( 17x+19y) = 55 - 53

=> 2x - 2y = 2

Divide both sides by 2

=> x - y = 1   EqB

Step 3:

EqA + EqB

x + y + x - y = 3 + 1

=> 2x = 4

=> x = 2

Step 4:

Substitute x = 2 in EqA

2 + y = 3

=> y = 1

x =2 and y =1 is the solution of the equation 19x+17y=55, 17x+19y=53