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Pair Of Linear Equations In Two Variables

Question 4:

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

Answer:

(i)x + y = 5

2x + 2y = 10

Since ,

Therefore, these linear equations are coincident pair of lines and thus have infinite number of possible solutions. Hence, the pair of linear equations is consistent.

x + y = 5

x = 5 − y

x

4

3

2

y

1

2

3

And, 2x + 2y = 10

x

4

3

2

y

1

2

3

Hence, the graphic representation is as …

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