Question

Fill in the blanks: If one of the solution of the equation x + ky = 4 is (0, 2) then k =​

Answer 1

Answer:

Given Equation :

$\: \: \: \: \: \: \: \: \: \: \: \: { \tt{x + ky = 4}}$

Solutions of The Equation :

$\: \: \: \: \: \: \: \: \: \: \: \: \: { \tt{(0,2)}}\:$

Value of k :

$\: \: \: \: \: \: \: \: \: { : \implies{ \tt{x + ky = 4}}}$

$\: \: \: \: \: \: \: \: \: { { \tt{Taking \: x = 0,y = 2}}}$

$\: \: \: \: \: \: \: \: \: { : \implies{ \tt{0 + k(2) = 4}}}$

$\: \: \: \: \: \: \: \: \: { : \implies{ \tt{2k = 4}}}$

$\: \: \: \: \: \: \: \: \: { : \implies{ \tt{ \pmb{k = 2}}}}$

Verification :

${ \longrightarrow{ \tt{x + ky = 4}}}$

${ \longrightarrow{ \tt{0 + 2(2) = 4}}}$

${ \longrightarrow{ \tt{4 = 4}}}$

Hence Proved

${ \therefore{ \underline{ \sf{ \pink{The \: Value \: of \: K \: in \: the \: Equation \: is \: 2}}}}}$

Answer 2

Given,

$\[x + ky = 4\]$

To find,

The value of k.

Solution,

Know that the given equation is satisfied by the points $\[\left( {0,2} \right).\]$

Therefore, apply the coordinates to the given equation

$\[\begin{array}{l} \Rightarrow 0 + k\left( 2 \right) = 4\\ \Rightarrow 2k = 4\\ \Rightarrow k = \frac{4}{2}\\ \Rightarrow k = 2\end{array}\]$

Hence, the value of k is $\[2.\]$