Question

2^x + 3^y = 5,

2^(x+3) - 3^(y-2) = 23

solve these simultaneously??

Answer 1

Suppose u can just proceed as normal to eliminate one variable.

Say multiply the first one by 2^3 to get 2^(x+3) and then subtract to get y

Answer 2

\[\alpha+\beta=5\]
\[\alpha\cdot2^3-\beta\cdot3^{-2}=23\]

solve this linear system of equations