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
Solution
The system of equations is:
- 2x - y = 7
- 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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