Question 1122512
Let a be the amount at 6% and b be the amount at 9%.

{{{system(0.06a+0.09b=810,a+b=10000)}}}

{{{system(0.02a+0.03b=270,a+b=10000)}}}

{{{system(a+1.5b=13500,a+b=10000)}}} Subtract the 2 equations to get

{{{0.5b=3500}}}

{{{highlight(b=7000)}}} That means a equals 10000-7000=3000

{{{system(a=3000,b=7000)}}} Check: 3000*0.06=180 7000*0.09=630 180+630=810. Correct!