Aperson invested $6,000, some at 7% and the rest at 5%. the income from the 7% investment is equal to the income from the 5% investment. find the number of dollars invested at each rate.

The person invested $3500 at 7% and $2500 at 5%

Step-by-step explanation:

We can say that because the investment is equal both in one as in another, where x is the income from the investment.

Solving the equation we have:

Then to get the incomes:

At 7%:

And at 5%:

Finally we can demonstrate the answer because the  income at 7% + income at 5% are 3500+2500=$6000