help me with math i need help

Question

Ms. Burke invested $23 comma 000 in two accounts, one yielding 8% interest and the other yielding 10%. If she received a total of $1 comma 920 in interest at the end of the year, how much did she invest in each account?

Answer 1

 

X+Y = 23000

 

0.08X + 0.10Y = 1920

 

0.08X + 0.10(23000 - X) = 1920

 

0.08X + 2300 - 0.10X = 1920

 

-0.02X = -380

 

X = 19000

 

Y = 4000