1.2: Exponential equations with bases 7 and 5

0606/11/O/N/19 — Question 3 · 5 marks

Given that 7x×49y=17^{x} \times 49^{y} = 1 and 55x×1252y3=1255^{5x} \times 125^{\frac{2y}{3}} = \frac{1}{25}, calculate the value of xx and of yy.
[5]