Question

3x-8y=-2
9x+4y=8
find x and y​

Answer 1

${\huge{\bf{\red{\underline{Solution:}}}}}$

${\bf{\blue{\underline{Given:}}}}$

$\star \: {\sf{\green{ 3x - 8y = - 2.....(1)}}}$

$\star \: {\sf{\green{ 9x + 4y = 8.....(2)}}}$

${\bf{\blue{\underline{To:Find:}}}}$

$\star \: {\sf{\green{ value \: of \: x \: and \: y}}}$

${\sf{\underline{\blue{Now,}}}}$

${\tt{ \diamond \: from \: (1)}}$

${\tt{ \implies \: 3x = - 2 - 8y}}$

${\tt{ \implies \: x = \frac{ - 2 - 8y}{3}.....(3) }}$

${\sf{\underline{\blue{put \: the \: value \: of \: x \: in \: eq \: (2),}}}}$

${\tt{ \implies \: 9 \big( \frac{ - 2 - 8y}{3} \big) + 4y = 8 }}$

${\tt{ \implies \: \big( \frac{ - 18 - 72y}{3} \big) + 4y = 8 }}$

${\tt{ \implies \: \big( \frac{ - 18 - 72y + 12y}{3} \big) = 8 }}$

${\tt{ \implies \: - 18 - 72y + 12y = 8 \times 3 }}$

${\tt{ \implies \: - 18 - 60y = 24 }}$

${\tt{ \implies \: - 60y = 24 + 18 }}$

${\tt{ \implies \: - 60y = 42}}$

${\tt{ \implies \: y = \frac{42}{60} }}$

$\implies{ \boxed{\tt \: y = \frac{7}{10} }}$

${\sf{\underline{\blue{Now \: put \: the \: value \: of \: y \: in \: eq \: (3),}}}}$

${\tt{ \implies \: x = \frac{ - 2 - 8 \big( \frac{7}{10} \big) }{3} }}$

${\tt{ \implies \: x = \frac{ - 2 - \big( \frac{56}{10} \big) }{3} }}$

${\tt{ \implies \: x = \frac{ \frac{ - 20 + 56}{10} }{3} }}$

${\tt{ \implies \: x = \frac{ \frac{ 36}{10} }{3} }}$

${\tt{ \implies \: x = \frac{36}{10} \times \frac{1}{3} }}$

$\implies\boxed {\tt{ \: x = \frac{6}{5} }}$

${\bf{\blue{\underline{Hence \: the\: value \: x = \frac{6}{5} \: and \: y = \frac{7}{10} \: Ans}}}}$

Answer 2

Answer:

Hello mate.. itz Essar 03..

Step-by-step explanation:

let x=3

3*3-8y=-2

9-8y=-2

-8y=-2-9

-8y=-11

y=-11/-8=11/8

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