Question

if 17x - 19y = 53 and 19x - 17y = 55 then the value of ( x+y) is ?



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Answer 1

Answer:

Value of (x + y) = 1

Step-by-step explanation:

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

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

Now, (i) × 17 - (ii) × 19:-

289x - 323y = 901

-361x + 323y = 1045

-72x = -144

or, x = 2

Putting the value of x in (i):-

17(2) - 19y = 53

or, -19y = 19

or, y = -1

Then, x + y = 2 + (-1) = 1

Answer 2

Answer:

17x-19y=53 (i)

19x-17y=55 (ii)

Subtract (i) from (ii)

19x-17y=55

17x-19y=53

________

2x+2y =2

2(x+y)=2

x+y=2/2

=1