The linear systema1x + b1y = c1a2x + b2y = c2a3x + b3y = c3of three equations in two unkno...

The linear system

a1x + b1y = c1

a2x + b2y = c2

a3x + b3y = c3

of three equations in two unknowns represents three lines L1, L2, and L3 in the .xy-plane. Figure 1 shows six possibleconfigurations ofthese three lines. In each case describe the solution set of the system.

(a)

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(b)

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(c)

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(d)

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(e)

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(f)

FIGURE 1. Three lines in the plane.