MODELING WITH MATHEMATICS Sam’s Furniture Store places the following advertisement in the local newspaper. A figure shows an advertisement of Sam’s furniture. It shows three different sofas with their price. The price of sofa and love seat is 1300 dollars, sofa and two chairs is 1400 dollars, sofa, love seat, and one chair is 1600 dollars. Write a system of equations for the three combinations of furniture. Let $S$ represent the cost of a sofa, let $L$ represent the cost of a love seat, and let $C$ represent the cost of a chair. $=1300$ $=1400$ $=1600$ What is the price of each piece of furniture? A sofa costs $ , a love seat costs $ , and a chair costs $ .