Question

Find the value of kid the line represented by the equation 2x-ky=9 passes through the point -2,-13

Answer 1

$\large{\sf{\pink{\underline{\underline{To~Find}}}}}$

The value of $\mathrm\pink{k}$

$\large{\sf{\pink{\underline{\underline{Calculation}}}}}$

$\pink{•}$Let's substitute the $\mathrm\pink{x,~y}$with $\mathrm\pink{-2,~-13}$ respectively .

${[2 × -2] - [k × -13] = 9}$

$(-4) - (-13k) = 9$

${ -4 +13k = 9 }$

${13k = 9+4 = 13}$

$k \: = \: \frac{13}{13} = 1$

$\large{\sf{\pink{\underline{\underline{Verification}}}}}$

$\pink{•}$Putting $\pink{1}$ instead of $\pink{k}$

${ [2 × -2] - [1 × -13] = 9}$

${ (-4) - (-13) = 9}$

${ -4 +13 = 9}$

${9=9}$

$\mathrm\pink{☆~It's~correct☆}$

$\large{\sf{\pink{\underline{\underline{Solution}}}}}$

$\large{\pink{\boxed{\boxed{\mathcal{\pink{K~=~1}}}}}}$