Question 928351
Total amount of money invested: $10000
x+y=10000,
Total yearly interest for the two accounts is: $805
0.07*x+0.10*y=805
x=10000-y
Substitute for x
0.07*(10000-y)+0.1*y=805
Multiply out
700-0.07*y+0.1*y=805
Combine like terms.
0.03*y=105
Isolate y
y=$    3500.00 at 10% earns $350 interest
x=10000-y
Calculate x
x=$    6500.00 at 7% earns $455 interest
Check
0.07*6500+0.1*3500=805
455+350=805
805=805
If 805=805 is TRUE and neither x nor y  is negative then all is well
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