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

1. Answer✍︎
5. \large\underline\mathfrak{GIVEN,}
6. GIVEN,
10. \dashrightarrow \blue{kx+2y=6}⇢kx+2y=6
12. \dashrightarrow \blue{x=-1}⇢x=−1
14. \dashrightarrow \blue{y=2}⇢y=2
16. \large\underline\mathfrak{\red{TO\:FIND,}}
17. TOFIND,
21. \dashrightarrow \blue{The\:value\:of\:k}⇢Thevalueofk
23. \large\underline\bold{\pink{\mathfrak{SOLUTION,}}}
24. SOLUTION,
28. \implies \green{kx+2y=6}⟹kx+2y=6
30. \therefore \orange{putting\:the\:value\:of\:x\:and\:y\:.}∴puttingthevalueofxandy.
32. \implies \purple{k(-1)+2(2)=6}⟹k(−1)+2(2)=6
34. \implies \purple{-k+4=6}⟹−k+4=6
36. \implies \purple{-k=6-4}⟹−k=6−4
38. \implies \purple{-k=2}⟹−k=2
40. \implies \purple{k=-2}⟹k=−2
42. \rm{\boxed{\bf{\circ\:\: k=-2\:\: \circ }}}
43. ∘k=−2∘
47. \large\underline\mathfrak{THE\:VALUE\:OF\:k\:IS\:-2}
48. THEVALUEOFkIS−2