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A certain brand of tea bags comes in packages of 5, 10, and 20 sachets, costing$5, $9, and $15 per package, respectively.A store sold 16 packages containing a total of 165 sachets and took in $140.Write a system of equations to match the description of the information given.

Graph the following system of equations and mark the point of intersection if it exists. y = x + 3 Y = 2 UNDO REDO RESET DELETE CLICK TO SELECT 6 • POINT C 5 4 LINE AA 3 LINE BB 2 1 -6 -5 -4 -3 -2 -1 1 4 6. 7 8 10 11 -1 -2 -3 -4 -5 -6

Concert. Over two years, the total number of people who attended the Vancouver Folk Music Festival was 7800. In year 1, there were 1200 more people that attended compared to year 2. S a) Set up a system of linear equations using the following variables x: number of people who attended in year 1, y: number of people who attended in year 2 b) Solve your system by elimination to see who many people attended in each year.

The traffic through downtown East Podunk flows through the one-way system shown below. Traffic counters find that 400 vehicles enter town from the west each hour and 400 leave town toward the east each hour. Also, 50 cars drive down Canal Street each hour. Write down the general solution of the associated system of linear equations. Is it possible to determine the number of vehicles on each street per hour? a=400, b=50, c=400

3. Solve each system by graphing Answer key: (-1,-4)

Which is the best method to use to solve the following system of equations? A. Elimination B. Graphing C. Substitution D. None of the above 1 y = -x -3x + y = -5

Graph the systems of linear equations to determine the values of x and y that simultaneously satisfy both equations (if such values exist).  Note:  If the solution is an ordered pair, do not put spaces between the comma and the second value.  If the solution is "no solution" or "infinitely many solutions," enter those words with spaces and spelled correctly.

4. 9 An ice cream shop sells small and large sundaes. One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270. Sales tax is included in all prices. If x is the cost of a small sundae and y is the cost of a large sundae, write a system of equations to represent this situation. Peyton thinks that small sundaes cost $2.75 and large sundaes cost $6.75. Is Peyton correct? Justify your answer. Using your equations, determine algebraically the cost of one small sundae and the cost of one large sundae.

The flow of traffic (in vehicles per hour) through a network of streets is shown at the right. Solve the system for the traffic flow represented by  xi, i = 1, 2, 3, 4, and 5.