Question
Which of the following pairs of linear equations are consistent/inconsistent ? Consistent, obtain the solution graphically :
2x + y – 6 = 0, 4x – 2y – 4 = 0
Solution
We have,
2x + y - 6 = 0
⇒ y = 6 - 2x
and 4x - 2y - 4 = 0
⇒ y = 2x - 2
Thus we have following table
When we plot the graph of the equations, we find that both the lines intersect at point (2, 2).
Hence the solution of the given equation is x = 2, y = 2.
Fig. 3.8.
Therefore, the pair of equation is consistent at point (2, 2).
