Let x be the total invested at 5% and y the total invested at 10%
Then we have:
I) x+y = $7000
II) 0.05x + 0.1y = $560
Firt, we multiply equation II by 20:
I) x+y = $7000
II) x + 2y = $11200
Now, we subtract equation I from equation II:
y = $4200
Therefore, x = $7000 - $4200 = $2800
Answer:
$2800 at 5%
$4200 at 10%