What is the value of [math]x[/math] if [math]5 ^ {x + 1} = 6 ^ y[/math] and [math]2 ^ {x + y} = 3 ^ {x - y}[/math]?
What are the values of [math]x[/math] and [math]y[/math] if {[math]2^x \times 5^y = 1[/math], [math]5^{x+1} \times 2^y = 10[/math]}?