Question 903849
We know the total amount of money invested. $17000
x+y=17000,
We know that the total interest for the year for the two accounts is $1230
0.06*x+0.09*y=1230
x=17000-y
We substitute for x
0.06*(17000-y)+0.09*y=1230
We multiply out
1020-0.06y+0.09*y=1230
We combine like terms.
0.03*y=210
Isolate y
y=7000 at 9%
x=17000-y
Calculate x
x=10000 at 6%
We check
0.06*10000+0.09*7000=1230
600+630=1230
1230=1230
Since this statement is TRUE and neither amount is negative then it is ok