Without solving the systems, explain why the following systems must have the same solution. System (a): 4x – 5y = 13 System (b): 8x – 10y = 26 x - 11y = 2 3x + 6y = 11

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Chapter5: Systems Of Linear Equations
Section5.4: Solve Applications With Systems Of Equations
Problem 5.81TI: Translate to a system of equations and then solve: Mario wants to put a rectangular fence around the...
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Without solving the systems, explain why ka fallowing systems must have the same solution.
System (a): 4x – 5y = 13
Зх + 6у 3 11
System (b): 8x – 10y = 26
x – 11y = 2
Kesha is planning to rent a van for her trip to Mt. Rainier Twe of her friends each rented the same type of van from
the same car rental company last week. This is what they told her:
3.
John: "The cost of my rental was $240. The company charged me a certain amount per day and a certain amount per
mile. I had the rental for five days and I drove it 200 miles."
Katie: "The cost of my rental was only $100. I drove it for 100 miles and had it for two days."
Kesha plans to get the same type of van that John and Katie bad from the same car rental company. Kesha estimated
her trip would be 250 miles, and she would have the vehicle for four days.
Let C = cost, M = miles, and D = days
Which equation could Kesha use to figure out how much her rental would cost?
A. C = 40.00M + 0.20D
B. C = 40.00D + 0.20M
C. C = 20.00M + 0.40D
D. C = 20.00D + 0,40M
Transcribed Image Text:P+rt 2. Without solving the systems, explain why ka fallowing systems must have the same solution. System (a): 4x – 5y = 13 Зх + 6у 3 11 System (b): 8x – 10y = 26 x – 11y = 2 Kesha is planning to rent a van for her trip to Mt. Rainier Twe of her friends each rented the same type of van from the same car rental company last week. This is what they told her: 3. John: "The cost of my rental was $240. The company charged me a certain amount per day and a certain amount per mile. I had the rental for five days and I drove it 200 miles." Katie: "The cost of my rental was only $100. I drove it for 100 miles and had it for two days." Kesha plans to get the same type of van that John and Katie bad from the same car rental company. Kesha estimated her trip would be 250 miles, and she would have the vehicle for four days. Let C = cost, M = miles, and D = days Which equation could Kesha use to figure out how much her rental would cost? A. C = 40.00M + 0.20D B. C = 40.00D + 0.20M C. C = 20.00M + 0.40D D. C = 20.00D + 0,40M
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