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What is the solution to the system of equations y = 2x + 3 and y = -2x + 5?

  1. (0,8)

  2. (-1,8)

  3. (1,4)

  4. (2,3)

The correct answer is: (2,3)

The solution to the given system of equations is the point where the two lines intersect, which is (2,3) in this case. This point satisfies both equations y = 2x + 3 and y = -2x + 5. Option A (0,8) does not satisfy the first equation as y would be equal to 3, not 8. Option B: (-1,8) also does not satisfy the first equation as y would be equal to 1, not 8. Option C: (1,4) does not satisfy the second equation as y would be equal to 3, not 4. Therefore, option D is the only point that satisfies both equations and is the correct solution to the system.