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How many linear equations in $x$ and $y$ can be satisfied by $x = 1$ and $y = 2$ ?

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Only one

Two

Infinitely many

Three

answer is C.

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Detailed Solution

Given, x = 1 and y = 2.
Coordinates for x = 1 and y = 2 will be point (1,2).
The following graph represents the straight lines passing through the point (1,2).
Question Image

From the graph, it's clear that infinite straight lines can pass through the point (1,2).
So, infinite linear equations are possible satisfying

x = 1, y = 2

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