Question

give the proper answer for the question number 13 for 10 CBSE

Answer 1

Given two simultaneous equations in two variables x and y.

$Let \: 2^x=X. \: and \: \: 3^y=Y\\\\2^x+3^y=17. \: \: \implies X+Y=17 ... \: (1)\\\\2^{x+2}-3^{y+1}=5 \: \: \implies \: 2^2 \: 2^x - 3^1 \: 3^y=5\\\\4 X - 3 Y = 5 \: \: . .. . . (2)$

Solving two equations in X and Y we get:  
   7 X = 56
    X = 8
  Using equation (1), we get:  Y = 9

So  2^x = 8    =>  x = 3
      3^y = 9    =>  y = 2.

Answer 2

see the attachment given above
HOPE IT HELPS