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  4. If (a, 2) is the point of intersection of the straight lines y=2 x-4 and y=x+ c, then the value of c is equal to

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Q. If $(a, 2)$ is the point of intersection of the straight lines $y=2 x-4$ and $y=x+ c$, then the value of $c$ is equal to

KEAMKEAM 2020

Solution:

$y=x+ C$
$y=2 x-4$
$2 y=2 x+2 C$
$y=2 C+4$
$\Rightarrow 2=2 C+4$
$\Rightarrow 2 C=-2$
$C=-1$