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  • Write an equation of a line passing through the point representing solution of the pair of linear equations x + y = 2 and 2x – y = 1. How many such lines can we find

Write an equation of a line passing through the point representing solution of the pair of linear equations x + y = 2 and 2x – y = 1. How many such lines can we find?

Answers (1)

Solution:
Given equations are    x + y = 2
2x – y = 1
x + y = 2         

x 1 2 3
y 1 0 -1

2x – y = 1

x 1 2 3
y 1 3 5

From the graph it is clear that two lines AB and CD intersect and point E (1, 1) Hence infinite lines can pass through the intersecting point E like 4 = x, 2x – y = 1 etc.

 

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infoexpert27

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