Solution:
The raw picture: a picture of the line intersection created by two lines
You can also write the above equation in the vector way:
You can think of: find the constant scaling factor x and y so that the addition of two vector addition is the result \begin{pmatrix} 5\\11 \end{pmatrix} (linear combination)
No Solution:
Raw Picture: parallel line
Vector Space: same direction
One Solution:
Raw Picture: intersection
Vector Space: vector addition
Infinite Solution:
Raw Picture: same line
Vector Space: three vectors are at the same direction
If infinite many solutions: let x be an arbitrary value p, then y = 3-2p.
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