Question 911732
Total amount of money invested: $20000
x+y=20000,
Total yearly interest for the two accounts is: $1500
0.06*x+0.08*y=1500
x=20000-y
Substitute for x
0.06*(20000-y)+0.08*y=1500
Multiply out
1200-0.06*y+0.08*y=1500
Combine like terms.
0.02*y=300
Isolate y
y=$   15000.00 at 8% earns $1200 interest
x=20000-y
Calculate x
x=$    5000.00 at 6% earns $300 interest
Check
0.06*5000+0.08*15000=1500
300+1200=1500
1500=1500
If this statement is TRUE and neither x nor y  is negative then all is well
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