Question

52. 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?.
(NCERT EXEMPLAR)
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Answer 1

The lines AB and CD intersect at E (1,1). Hence, infinite lines can pass through the intersection point of linear equations x+y=2 and 2x-y=1 i.e., E (1,1)like as y=x, 2x+y=3, x+2y=3.