Question

Solve for x, 3^x+3^y=4, 3^-x+3^-y=4/3

Answer 1

a+b=4

$\frac{1}{a} + \frac{1}{b} = \frac{4}{3}$

$\frac{b + a}{ab} = \frac{4}{3}$

ab=3

a=3,b=1

${3}^{x} = 3 \\ x = 1$

and

${3}^{y} = 1 \\ y = 0$