Question

find k if kx +2y=6 and x=-1 and y =2​x​

Answer 1

$\huge\mathtt{\fbox{\red{Answer✍︎}}}$

$\large\underline\mathfrak{GIVEN,}$

$\dashrightarrow \blue{kx+2y=6}$

$\dashrightarrow \blue{x=-1}$

$\dashrightarrow \blue{y=2}$

$\large\underline\mathfrak{\red{TO\:FIND,}}$

$\dashrightarrow \blue{The\:value\:of\:k}$

$\large\underline\bold{\pink{\mathfrak{SOLUTION,}}}$

$\implies \green{kx+2y=6}$

$\therefore \orange{putting\:the\:value\:of\:x\:and\:y\:.}$

$\implies \purple{k(-1)+2(2)=6}$

$\implies \purple{-k+4=6}$

$\implies \purple{-k=6-4}$

$\implies \purple{-k=2}$

$\implies \purple{k=-2}$

$\rm{\boxed{\bf{\circ\:\: k=-2\:\: \circ }}}$

$\large\underline\mathfrak{THE\:VALUE\:OF\:k\:IS\:-2}$

Answer 2

Given, kx +2y=6, x = -1 and y = 2x

kx +2y=6

--> kx + 2(2x) = 6

--> k(-1) + 4(-1) = 6

--> -k = 6 + 4

--> k = -10

So, k = -10