# System of Linear Equations Using Gaussian Elimination Question-RCC .

Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Assume the interest rates are annual. Ali borrowed \$18,500 to buy a truck for his business. He borrowed from his parents who charge him 4% simple interest. He borrowed from a credit union that charges 7% simple interest, and he borrowed from a bank that charges 5% simple interest. He borrowed six times as much from his parents as from the bank, and the amount of interest he paid at the end of 1 yr was \$895. How much did he borrow from each source? Ali borrowed \$ from his parents, \$ from the credit union, and \$ from the bank. Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Ben stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 11 nights. He spent twice as many nights in Dallas as he did in Washington. The total cost for 11 nights (excluding tax) was \$1520. Determine the number of nights that he spent in each city. City Cost per Night Washington \$250 Atlanta \$ 100 Dallas \$130 Ben spent night(s) in Washington, night(s) in Atlanta, and night(s) in Dallas.