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Is (–7,–3) a solution to this system of equations?x=–7y=–x–10

Question

Is (–7,–3) a solution to this system of equations?x=–7y=–x–10

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Solution

Sure, let's check if the point (-7,-3) is a solution to the system of equations:

  1. x = -7
  2. y = -x - 10

Step 1: Substitute x = -7 into the first equation: We get x = -7, which is true because -7 equals -7.

Step 2: Substitute x = -7 into the second equation: We get y = -(-7) - 10 = 7 - 10 = -3.

So, the point (-7,-3) is indeed a solution to the system of equations.

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