Question

$3x - 5y - 4 = 0 \\ 9x = 2y + 7 \\ find \: x \: and \: y \: value \: by \: pair \: of \: linear \: equations \:$
use elimination method. ​

Answer 1

3x – 5y – 4 = 0 and 9x = 2y + 7

$\sf \blue{➣ \: By \: elimination \: method}$

3x – 5y – 4 = 0

3x – 5y = 4 ↠(i)

9x = 2y + 7

9x – 2y = 7 ↠(ii)

Multiplying equation (i) by 3, we get

9 x – 15 y = 11 ↠ (iii)

9x – 2y = 7 ↠ (ii)

Subtracting equation (ii) from equation (iii), we get

-13y = 5

y = -5/13

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Putting value in equation (i), we get

3x – 5y = 4 ↠(i)

3x - 5(-5/13) = 4

Multiplying by 13 we get

39x + 25 = 52

39x = 27

x =27/39 = 9/13

$\sf{Hence \: our \: answer \: is \: x = 9/13 \: and \: y = - 5/13} \: \huge\green ✔$

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