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

Answer:

K = -2

Explanation:

GIVEN,

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

\dashrightarrow \blue{x=-1}⇢x=−1

\dashrightarrow \blue{y=2}⇢y=2

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

TOFIND,

\dashrightarrow \blue{The\:value\:of\:k}⇢Thevalueofk

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

SOLUTION,

\implies \green[kx+2y=6}

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

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

\implies \purple{-k+4=6}⟹−k+4=6

\implies \purple{-k=6-4}⟹−k=6−4

\implies \purple{-k=2}⟹−k=2

\implies \purple{k=-2}⟹k=−2

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

∘k=−2∘

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

THEVALUEOFkIS−2