Question

if the point (2k -3 k + 2) lies on the graph of equation 2x + 3y+ 15 = 0 find the value of k​

Answer 1

Answer: K = 0.

Step-by-step explanation:

$\red{ \underline{given:} } \\ \orange{the \: equation \: of \: the \: line \: is \:2x + 3y+ 15 = 0 \: and \: the \: points \: of \: the \: line \: is \:(2k -3 ,k + 2). }\\ \red{ \underline{concept:}}\\ \orange{ the \: points \: lies \: in \: the \: line \: sutisfy \: the \: equation \: of \: that \: line} \\ \\ \orange{ \therefore{putting \: the \: points \: on \: the \: equation \: of \: the \: line.}} \\ \\ \green{2 \times (2k - 3) + 3 \times (k + 2) + 15 = 0.} \\ \\ \green{ \implies{4k - 6 + 3k + 6 = 0.}} \\ \\ \green{ \implies{7k = 0.}} \\ \\ \green{ \implies{ \underline{k = 0.}}}$