Question

express the following statements as a linear equation in two variables

Answer 1

this is your answer of ur question

Answer 2

$i ) Let \: x \: and \: y \: are \: any \:two \: numbers$

$Sum \:of \: two \: numbers = Rs \:34$

$\implies x + y = 34$

$ii ) Let \: the \: cost \:of \:a \: fountain \:pen = x \\Let \: the \:cost \: of \:ball \:pen = y$

/* According to the problem given */

$\implies y = x - 5 \: Or \: x - y = = 5$

$iii ) Let \: Sindhu \: marks = x \\Bharghavi's \: marks = y$

/According to the problem given */

$\implies y = 2x - 10 \: Or \: 2x - y = 10$

$iv) Given \:cost \:of \:a \: pencil = Rs \: 2$

$Cost \:of \:a \:ball \: point \:pen = Rs \:15$

$Let \: number \:of \:pencils \: purchased = x \\</p><p>Let \: number \:of \:pens\: purchased = y \\Then , \: the \: total \: cost \: of \: x - pencils = 2x \\Total \:cost \:of \: y\: pencils = 15y$

/* According to the problem given */

$\implies 2x + 15y = 100$

$v) Let \: Yamini's \: contribution \:to \: PMRF \\be \: Rs \: x \\Fatims's \: contribution \:to \: PMRF \\be \: Rs \: y \\</p><p>/* According to the problem given */</p><p>[tex] \implies x + y = Rs \: 200$

$vi ) Given \: the \: units \: place \: digit = x ,\\ten's \:palce \:digit = y$

$Original \: number = 10y + x$

$Reversing \: the \:digits , the \:new \:number \\so\: formed = 10x + y$

/* According to the problem given */

$\red { Sum \: of \: the \: numbers = 121} \\\implies 10y + x + 10x + y = 121 \\\implies 11x + 11y = 121$

/* Dividing each term by 11, we get */

$\implies x + y = 11$

•••♪