System equations

Question

Scott invested a total of $65,000 into two accounts One account pays 5.2% interest annually the other pays 6.9% interest annually at the end of the year Scott earned a total of $3,856 how much money did Scott invest in each account Scott invested ____ and the 5.2% account and _____ in the 6.9% account

Answer 1

(.052)x + (65000-x)(069) = 3856

-.017x = -4485+3856

.017x = 629

x = 629/.017 = $37000 invested at 5.2%

65000-x = $28,000 invested at 6.9%