Question

If (5,2) is one of the roots of 3x-4y=k, then k =?​

Answer 1

(5,2) is the roots then x=5 y=2
3x-4y=k
3 * 5 -4*2=k
15-8=k
K=7

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Answer 2

${\huge{\red{\sf{Given}}}}\begin{cases}\leadsto \bf{(5,2) \:is\:a\:root\:of\:3x-4y=k.}\\\leadsto\bf{ A\:unknown\:value\:k.}\end{cases}$

${\huge{\red{\sf{To\:Find}}}}\begin{cases}\leadsto \bf{To\:find\:value\:of\:k.}\end{cases}$

$\huge\red{\underline{\bf{\green{Answer}}}}$

We have,

• x-coordinate as 5
• y-coordinate as 2.

So on putting these values in the given equation,we have,

$\sf{\implies 3x-4y=k}$

$\sf{\implies 3\times 5-4\times2=k}$

$\sf{\implies 15-8=k}$

${\sf{\implies k=15-8}}$

${\underline{\boxed{\red{\bf{\mapsto k =7}}}}}$

Therefore the value of k is 7 .