Question

3^x+y=27 and 3^x-y=243, then x =​​

Answer 1

Explanation:

Given, 3x−y=27 and 3x+y=243

3x−y=33

3x+y=35

Takin log to the base 3 on both sides for both the equations

x−y=3 and x+y=5

Adding them,

x−y+x+y=8

2x=8

x=4

Thus, 4−y=3

y=1

Answer 2

Answer:

Explanation:

Given, 3x-y-27 and 3x+y=243

3x-y-33

3x+y=35

Takin log to the base 3 on both sides for both the equations

x-y=3 and x+y=5

Adding them,

x-y+x+y=8

2x=8

x=4

Thus, 4-y-3

y=1