Question

Solve This Pairs Of Simultaneous Equation: 5^x+5^y=150, x-y=1

Answer 1

Answer:

${5}^{x} + {5}^{y} = 150 \\ x = y + 1 \\ {5}^{y + 1} + {5}^{y} = 150 \\ {5}^{y} . {5}^{1} + {5}^{y} = 150 \\ {5}^{y} (5 + 1) = 150 \\ {5}^{y} = \frac{150}{6} \\ {5}^{y} = 25 \\ {5}^{y} = {5}^{2} \\ y = 2 \\ x = y + 1 = 3$