Algebra help please

Question

You invested $17000 into two accounts paying 4% and 6% annual interest, respectively. If the total interest for the year was $860, how much was invested at each rate?

Answer 1

X+ y = 17000

0.04 x + 0.06y = 860

0.04x + 0.06 ( 17000 - x) = 860

0.04x + 1020 - 0.06x = 860

-0.02x = -160

2x = 16000

x = 8000

y = 9000