Two solutions of each of the equations :
x + 2y – 4 = 0 .........(1)
2x + 4y – 12 = 0........... (2)
are given in Table 3.3
To represent the equations graphically, we plot the points R(0, 2) and S(4, 0), to get the line RS and the points P(0, 3) and Q(6, 0) to get the line PQ.
We observe in Fig. 3.4, that the lines do not intersect anywhere, i.e., they are parallel.
So, we have seen several situations which can be represented by a pair of linear equations. We have seen their algebraic and geometric representations. In the next few sections, we will discuss how these representations can be used to look for solutions of the pair of linear equations.
