Please Answer 1-3 for me
1. Solve the system of linear equations using the Gauss-Jordanelimination method.
| 2x1 | ? | x2 | + | 3x3 | = | ?16 |
| x1 | ? | 2x2 | + | x3 | = | ?5 |
| x1 | ? | 5x2 | + | 2x3 | = | ?11 |
(x1, x2, x3) = ( )
2. Formulate a system of equations for the situation below andsolve.
For the opening night at the Opera House, a total of 1000 ticketswere sold. Front orchestra seats cost $90 apiece, rear orchestraseats cost $70 apiece, and front balcony seats cost $50 apiece. Thecombined number of tickets sold for the front orchestra and rearorchestra exceeded twice the number of front balcony tickets soldby 400. The total receipts for the performance were $70,800.Determine how many tickets of each type were sold.
| frontorchestra | |
| rearorchestra | |
| frontbalcony | |
3.
Formulate a system of equations for the situation below andsolve.
Joan and Rick spent 3 weeks (21 nights) touring four cities on theEast Coast—Boston, New York, Philadelphia, and Washington. Theypaid $220, $440, $180, and $200 per day for lodging in each city,respectively, and their total hotel bill came to $6,360. The numberof days they spent in New York was the same as the total number ofdays they spent in Boston and Washington, and the couple spent 3times as many days in New York as they did in Philadelphia. Howmany days did Joan and Rick stay in each city?
| Boston | days |
| NewYork | days |
| Philadelphia | days |
| Washington | days |
