Question

5)
If x = 3k + 2 and y = 2k - 1 is a solution of the equation 4x - 3y + 1 =
O, find the value of k.
The cost of Spencils is equal to the cost of 2 ball pens. Write a linear
equation in two variables to represent this statement.
ehf the following nations in the form av by​

Answer 1

$\huge{\underline{ Question:}}$

$1) \: If \: \: x = 3k + 2 \: \: and \: \: y = 2k - 1 \: \: is \: a \: \: solution \: \: of \: \: the \: \: equation \: \: \\ 4x - 3y + 1 =0, \: find \: \: the \: \: value \: \: of \: \: k.$

$2) \: \: The \: \: cost \: \: of \: \: 5 \: pencils \: \: is \: \: equal \: \: to \: \: the \: cost \: \: of \: \: 2 \: \: ball \: \: pens.\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ Write \: \: a \: \: linear \: \: equation \: \: in \: \: two \: variables \: \: to \: \: represent \: \: this \: \: statement.$

$Hope \: \: these \: \: are \: \: your \: \: questions. \: B'cos \: \: it's \: \: not \: \: clear..$

$\huge\red{\underline{ \underline{Answer :}}}$

$1) \: given :$

$x = 3k + 2$

$y = 2k - 1$

$Substituting \: \: in \: \: the \: \: equation ,$

$4x - 3y + 1 = 0$

$4(3k + 2) - 3(2k - 1) + 1 = 0$

$12k + 8 - 6k + 3 + 1 = 0$

$12k - 6k + 8 + 3 + 1 = 0$

$6k + 12 = 0$

$6k = - 12$

$k = \frac{ - 12 \: \: \: \: }{6}$

$\boxed{\bold{k = - 2}}$

$2)$

$Let \: \: the \: \: cost \: \: of \: \: 1 \: \: pencil \: \: be \: \: 'x' \: \: and \: \: cost \: \: of \: \: 1 \: \: ball \: \: pen \: \: be \: \: 'y'.$

$Cost \: \: of \: \: 5 \: \: pencils = 5x \\ Cost \: \: of \: \: 2 \: \: ball pens = 2y$

$According \: \: to \: \: the \: \: question \: : 5x=2y$

$\boxed{\bold{5x - 2y = 0}}$

$\green{ \bf{Hope \: \: this \: \: helps \: \: you \: !}}$