the sum of 95000 is split between two investments one paying 6% and the other 9%. the annual income is $7290 how much is invested at 6% and at 9%

Question

whpalmer4 · Answer

Let S be the amount invested at 6%, and N be the amount at 9%.

$S+N = 95000$  (total investment)
$0.06*S + 0.09*N = 7290$ (income from respective investments)

Solve the system of equations by substitution or elimination.

anonymous · Answer

thank you but i'm getting really long nonsence numbers when I solve maybe im doing something wrong

whpalmer4 · Answer

Let's see your work...

whpalmer4 · Answer

I would multiply the second equation by 100 to get rid of the decimals...

whpalmer4 · Answer

My suggestion for a route to the solution:

Multiply first equation by -6
Multiply second equation by 100
Add the two equations together, and you'll have an equation in only 1 variable, which you can easily solve.  Use the result from that in the first equation to find the value of the other variable.

After finding the two values, plug them into the second equation and make sure they work!