Question

) સમીકરણ 3x - 5y = 45 અને yઅક્ષના છેદ બિંદુના
યામ .... .. થાય.
A. (15, 0)
B. (0, 15)
C. (0, 9)
D. (0, -9)​

Answer 1

QUESTION:-

✯ᴇϙᴜᴀᴛɪᴏɴ 3x - 5ʏ = 45 ᴀɴᴅ ᴛʜᴇ ᴘᴏɪɴᴛ ᴏғ ɪɴᴛᴇʀsᴇᴄᴛɪᴏɴ ᴏғ ᴛʜᴇ ʏ ᴀxɪs

ANSWER✔

$\sf\therefore taking\:four\:cases,$

$\sf\therefore in \:case \:1$

$\sf\dashrightarrow let\:x\:be\:15\:and\:y\:be\:0$

$\sf\therefore 3x-5y=45$

$\sf\implies 3 (15)-5(0)$

$\sf\implies 45-0$

$\sf\implies 45$

$\sf\therefore (15,0) are\:the\:intersection\:of\:the\:given\:equation$

$\sf\therefore in\:case\:2$

$\sf\dashrightarrow let\:x\:be\:0\:and\:y\:be\:15$

$\sf\therefore 3x-5y=45$

$\sf\implies 3(0)-5(15)$

$\sf\implies 0-75$

$\sf\implies -75$

$\sf\therefore (15,0) are\:not\:the\:intersection\:of\:the\:given\:equation$

$\sf\therefore in\:case\:3$

$\sf\dashrightarrow let\:x\:be\:0\:and\:y\:be\:9$

$\sf\therefore 3x-5y=45$

$\sf\implies 3(0)-5(9)$

$\sf\implies 0-45$

$\sf\implies -45$

$\sf\therefore (0,9) are\:not\:the\:intersection\:of\:the\:given\:equation$

$\sf\therefore in\:case\:4$

$\sf\dashrightarrow let\:x\:be\:0\:and\:y\:be\:-9$

$\sf\therefore 3x-5y=45$

$\sf\implies 3(0)-5(-9)$

$\sf\implies 0+45$

$\sf\implies 45$

$\sf\therefore (0,-9) are\:the\:intersection\:of\:the\:given\:equation$

$\sf{\boxed{\sf{ (15,0),(0,-9) \:are\:the\: intersection\:of\:the\:given\: equation}}}$

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