Math help i am stuck on

Question

Brendan just retired, and has $880,000 to invest. A very safe Certificate of Deposit (CD) account pays 2%, while a riskier bond fund pays 4.5% in interest. Brendan figures he needs $26,000 a year in interest to live on. How much should he invest in each account to make enough interest while minimizing his risk?

Answer 1

.045x + .02(880-x) = 26

.045- .02)x = 26 -.02(880)

.025x = 26 - 17.6 = 8.4

x = 8.4/.025 = 336

x = amount invested at 4.5% = $336,000

880-x = amount invested at 2% = $544,000