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Conditions for a system of linear equations to have no solutions

By the graphi...

Question

By the graphical method, find whether the following pair of equations are consistent or not. If consistent, solve them.
$x + 2 y = 6; 3 x + 6 y = 0$

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Solution

Given $x + 2 y = 6$ and $3 x + 6 y = 0$
From the graph,the given two lines are parallel.
So the given system of equations is inconsistent.

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Conditions for a system of linear equations to have no solutions

Standard XII Mathematics

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