Question

find the value of k so that x = -1, y = -1 is a solution of the linear equation 9kx+12ky = 63

Answer 1

$\underline{\textsf{\textbf{\purple{ \mapsto Answer:}}}}$

$\sf The \:value\:of\:k\:is\:(-3).$

$\underline{\textsf{\textbf{\purple{ \mapsto Step-by-Step\: Explanation:}}}}$

Given that we have to find the value of k so that 9kx + 12ky = 63 has x = (-1) and y = (-1) as its solution. So for that ;

Put x = (-1) & y = (-1) in the equⁿ :-

=> 9kx + 12ky = 63.

=> 9k(-1) + 12k(-1) = 63.

=> -9k -12k = 63.

=> -21k = 63.

=> k = 63/(-21).

=> k = 3 .

Hence the value of k is (-3) .