Analyze the mathematical equations presented on the chalkboard.

Mathematical Equations Found:

• System 1:
• \(3x + 2y = 5\)
• \(-5x + 2y = 45\)
• System 2 (partially visible/potentially distinct):
• \(y - 2x = 4\)
• \(7x - y = 1\)
• Another equation fragment:
• \(y = 2x +\)

Analysis:

• The image displays two systems of linear equations. The first system has two equations with variables x and y. The second system, labeled 'B.1.', also presents two equations with x and y. There's also a fragment of a third equation. These appear to be standard algebraic problems typically found in a mathematics curriculum.

  Note: The second system's equations are written such that 'y' and 'x' might be mistaken for other symbols due to handwriting, but context suggests they are variables. The last equation fragment is incomplete.