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System of Equations

System:

Equation 1: 1x + 1y = 1

Equation 2: y = -2x + 3

Solution:

Intersection at x = 2.00, y = -1.00

Current System Type:

The system has exactly one solution (lines intersect)

Solution: (2.00, -1.00)

Types of Solutions

  • One Solution:

    Lines intersect at exactly one point. This means there is a unique solution that satisfies both equations.

  • No Solution:

    Lines are parallel and never intersect. This happens when the lines have the same slope but different y-intercepts.

  • Infinite Solutions:

    Lines are identical and overlap completely. This occurs when both equations represent the same line.