Row Picture

The row picture visualizes each equation as a line.

For the system:

$$\begin{cases} 2x + y = 5 \\ x + 3y = 6 \end{cases}$$

Each equation is a line. The solution is where they intersect.

How It Works

1. Plot each equation as a line in 2D
2. The intersection point is the solution
3. Parallel lines → no solution
4. Same line → infinitely many solutions

In 3D

Each equation becomes a plane. The solution is where all planes intersect.

• 3 planes → point (usually)
• 2 planes → line
• Parallel planes → no solution