Question

solve for p and q, 2^p +3^q =17 ; 2^p+2 - 3^q+1=5​

Answer 1

Answer:

Answer

Given equations are

2p+3q=−5 ....(1)

and 3p−2q=12 ....(2)

Therefore, 3p=12+2q⇒p=

3

12+2q

Substitute this value of p in equation (1), we get

2(

3

12+2q

)+3q=−5

⇒24+4q+9q=−15

⇒13q=−39

⇒q=−3

Put this vale of q in equation (3).

p=

3

12+2(−3)

⇒p=

3

12−6

⇒p=2

Therefore, the solution is p=2,q=−3.