Section 1
Systems of Equations, Geometry
Graphically, find the point $\left(x_{1}, y_{1}\right)$ which lies on both lines, $x+3 y=1$ and $4 x-y=3$. That is, graph each line and see where they intersect.
Graphically, find the point of intersection of the two lines $3 x+y=3$ and $x+2 y=1$. That is, graph each line and see where they intersect.
You have a system of $k$ equations in two variables, $k \geq 2 .$ Explain the geometric significance of(a) No solution.(b) A unique solution.(c) An infinite number of solutions.