Question

if x=3k+2 nd y =2k-1 is a solution of the equation 5x-3y=k, find the value of k​

Answer 1

Answer:

$x = 3k + 2 \: \: \: \: \: (1) \\ \\ y = 2k - 1 \: \: \: \: (2) \\ \\5x - 3y = k \: \: \: \: \: \: (3) \\ \\ put \: value \: of \: x \: and \: y \: in \: eq \: (3) \\ \\ 5(3k + 2) - 3(2k - 1) = k \\ \\ 15k + 10 - 6k + 3 = k \\ \\ 15k - 6k - k = - 10 - 3 \\ \\ 8k = - 13 \\ \\ k = \frac{ - 13}{8} \\ \\ hence \: the \: vaule \: of \: k = \frac{ - 13}{8}$

Answer 2

Step-by-step explanation:

$given \: that \: \\ x = 3k + 2 \\ y = 2k - 1 \\ according \: to \: question \\ 5x - 3y = k \\ putting \: the \: value \: of \: x \: and \: y \\ 5(3k + 2) - 3(2k - 1) = k \\ 15k + 10 - 6k + 3 = k \\ 9k + 13 = k \\ 9k - k = 13 \\ 8k = 13 \\ k = \frac{13}{8}$