Question

If x=2k-1 and y=k is a solution of the equation 3x-5y-7=0,find the value of k​

Answer 1

$Given \: Linear \: equation \: in \: two \\variables : 3x - 5y - 7 = 0 \: ---(1)$

$Substitute \: x = 2k - 1 \: and \: y = k \\in \: equation \: (1), we \:get$

$3( 2k - 1 ) - 5\times k - 7 = 0$

$\implies 6k - 3 - 5k - 7 = 0$

$\implies k - 10 = 0$

$\implies k = 10$

Therefore.,

$\red { Value \: of \: k } \green { = 10}$

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