1. Simultaneous Exponential Equation Problem

Solve the simultaneous equations:

$64({4}^{y}) = {16}^{x}$
${3}^{y} = 4({3}^{x - 2}) - 1$

x = 1, y = –1
x = 2, y = 1

2. You can write the first equation as
4^3*4^y = 4^2x.
From that you will get the value of y in-terms of x.
Substitute this value of y in the second equation. Solve the quadratics and find the values of e^x. From that get the required result.