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What is the solution to the system of equations y = 2x + 3 and y = -x + 4?

  1. x = 1, y = 5

  2. x = -1, y = 0

  3. x = -1, y = 4

  4. x = 1, y = 7

The correct answer is: x = 1, y = 5

The solution to the system of equations given is the point of intersection of the two lines represented by these equations. This means that the x and y values of this point must satisfy both equations. Option B and C are incorrect because they only satisfy one of the equations, either y = 2x + 3 or y = -x + 4, but not both. Option D is incorrect because it satisfies neither of the equations. The correct solution is given in option A, where the x value is 1 and the y value is 5, satisfying both equations y = 2x + 3 and y = -x + 4.