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Pair of Linear Equations in Two Variables
Question
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Which of the following pairs of linear equations are consistent/inconsistent ? Consistent, obtain the solution graphically :

2x + y – 6 = 0,      4x – 2y – 4 = 0

Answer

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).

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Some More Questions From Pair of Linear Equations in Two Variables Chapter

Which of the following pairs of linear equations are consistent/inconsistent ? Consistent, obtain the solution graphically :

2x + y – 6 = 0,      4x – 2y – 4 = 0