Question

find x and y when: 3^x+y = 243 and 2^3x+2y = 4096

Answer 1

Answer:

3^x+y=243=3^5

on comparing power on both sides we get

x+y=5 this is our eq1

2^3x+2y = 4096=2^12

on comparing power on both sides we get

3x+2y=12 this is our eq2

eq2 -2times of eq1

(I.e 3x+2y -(2x+2y) =12-10

x=2

putting x=2 in eq1

y=3