The **amount invested **at 3.5% interest rate is **$5,000.**

The **amount invested **at 5.75% interest rate is **$775,000.**

<h3>What are the linear equations that represent the question?</h3>

Total amount invested = ( 1 -tax rate) x amount won

0.65 x 1,200,000 = $780,000

a + b = $780,000 **equation 1 **

0.035a + 0.0575b = $33,600 **equation 2 **

Where:

- a = amount invested at 3.5% interest rate
- b = amount invested at 5.75% interest rate

<h3>What are the amounts invested at 3.5% and 5.57% interest rate ? </h3>

Multiply **equation 1 **by 0.0575

0.0575a + 0.0575b = 44,850 **equation 3 **

Subtract **equation 2 **from **equation 3**

11,250 = 2.25a

a = 11,250 / 2.25

a = **$5000 **

In order to determine the value of b , subtract $5000 from 780,000.

780,000 - 5000 = **$775,000**

To learn more about **simultaneous equations, p**lease check: brainly.com/question/25875552

#SPJ1