Question

if 2^x+3=4^y-2 and 3^x-2=9^3y-2x then find value of x and y​

Answer 1

Answer:3x−2y=5............ (1)

3y−2x=3

−2x+3y=3

Multiply (1) by 2 & eq (2) by 3

6x−4y=10..........(3)

−6x+9y=19..........(4)

_______________

Adding eqn (3) and (4), we get

6x−4y=10

−6x+9y=19

___________

5y=1

y=  

5

1

​  

 

Putting the value in  

6x−  

5

4

​  

=10

6x=10+  

5

4

​  

=  

5

54

​  

 

x=  

5×6

54

​  

=  

5

9

​  

 

x=  

5

9

​  

 

Now x+y=  

5

9

​  

+  

5

1

​  

=  

5

10

​  

=2$$

x+y=2

Step-by-step explanation: