A total of \(\$100,000\) was invested in one year. A part of this amount earned a simple annual interest at the rate of \(x\) percent, and the rest earned a simple annual interest at the rate of \(y\) percent. If the total interest earned by the \(\$100,000\) in one year was \(\$2,600,\) what is the value of the amount that is invested at \(x\) percent?

1. \(3x = 2y\)
2. The interest that earned at the rate of \(y\) percent was \(1,800\)

OA C