solve by elimination method :

2power x + 3 power y=17

2 power (x+2) + 3 power (y+1)=5

solve by elimination method :

2power x + 3 power y=17

2 power (x+2) + 3 power (y+1)=5

(note: the second eqn is incorrect , the correct eqn is 2 power (x+2) + 3 power (y+1)=59. So, we are providing the correct solution)

  = 17  ………………(1)

  = 5

  = 59

  = 59  ………………(2)

 Let ,  = p

   = q 

Put the value in (1) and (2)

We get,

  p+q = 17  ………(3)

 4p+3q = 59   ……….(4)

Multiply eqn (3) by 4,

We get

4p+4q = 68

Also, we have 4p+3q = 5

 4p+4q = 68

 4p+3q = 59

(-)  (-)  (-)

  q = 9

put the value of q in (3)

we get , p+9 = 17

  p = 17-9

  =  8

We know , p=

  8 =

   =

  Hence , x= 3

Also , q = 

   9 = 

  3² =  

  y = 2

hence , x = 3 , y = 2