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2 years ago

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Melvin plays tennis and swims for a total of 110 minutes every day. He plays tennis for 40 minutes longer than he swims. Part A:

Write a pair of linear equations to show the relationship between the number of minutes Melvin plays tennis (x) and the number of minutes he swims (y) every day. (5 points) Part B: How much time does Melvin spend swimming every day? Show your work. (3 points) Part C: Is it possible for Melvin to have spent 70 minutes playing tennis if he plays and swims for a total of exactly 110 minutes and plays tennis for 40 minutes longer than he swims? Explain your reasoning. (2 points)

1 answer:

ElenaW [278]2 years ago

8 0

Answer:

See below

Step-by-step explanation:

Part A:

⇒ Y represents the amount of swimming

⇒ X represents the amount of tennis

Now, creating to equations:

y + 40 = x
x + y = 110

Part B:

⇒ First equation is substituted for X in the other equation.

Gives us the plug in:

y + 40 + y = 110
2y = 70

⇒ Y = 35 minutes of swimming

⇒ Adding :

35 + 40 = 75 minutes of <em>swimming per day</em>.

Part C:
No, due to the equation ⇒ 70 + (70 - 40) = 100

Therefore, making this statement impossible.

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