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Given the system of equations: 20=17-5y and y=2-7. What is the value of that satisfies this system?

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Final answer:

The value given by y = 2 - 7 is y = -5, but this does not satisfy the first equation 20 = 17 - 5y. Hence, there is no consistent value of y that satisfies both equations.

Step-by-step explanation:

The student is asking what the value of y is that satisfies the system of equations:

  • 20 = 17 - 5y
  • y = 2 - 7.

To find the value of y, we can first solve the second equation directly:

y = 2 - 7

y = -5

Now that we have the value of y, we can check if this value satisfies the first equation:

20 = 17 - 5(-5)

20 = 17 + 25

20 = 42

This is not true, which means that y = -5 does not satisfy the first equation. Therefore, there is an error, and these two equations do not form a consistent system. In other words, there is no value of y that satisfies both equations simultaneously.

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