Question

if 17 X - 19 y = 53 and 19 X - 17 y equal 55 the value of x + y is​

Answer 1

Answer:

x + y = 89/17

Step-by-step explanation:

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

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

Multiply (i) by 19 and (ii) by 17.

323x - 361y = 1007 ... (iii)

323x - 289y = 935 ... (iv)

Subtract (iv) from (iii).

323x - 361y - (323x - 289y)  = 1007 - 935

72y = 72

y = 1

from (i)

17x - 19(1) = 53

17x = 72

x = 72/17

x + y = (72/17) + 1

= 89/17

Answer 2

Answer:

Step-by-step explanation:

It can be done with elimination method.

17x-19y=53 => multiply with 19

19x-17y=55 => multiply with 17

it becomes,

323x-361y=1007

323x-289y=935

now subtract this two equation we get,

-72y=70

y=-70/72

substituting y in any equation we get x