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What is the solution to the system of equations?2x−y=7y=2x+3Responses(2, 3)2 comma 3(2, 7)2 comma 7infinite number of solutionsinfinite number of solutionsno solution

Question

What is the solution to the system of equations?2x−y=7y=2x+3Responses(2, 3)2 comma 3(2, 7)2 comma 7infinite number of solutionsinfinite number of solutionsno solution

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Solution

The system of equations is:

  1. 2x - y = 7
  2. y = 2x + 3

To find the solution, we can substitute equation 2) into equation 1):

2x - (2x + 3) = 7 2x - 2x - 3 = 7 -3 = 7

This is not possible, so the system of equations has no solution.

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