Question

6x-3y+10=0. 2x-y+9=0​

Answer 1

Answer:

=4x-2y+19=0.........

Answer 2

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

$\: \bf{(1) \: 6x - 3y = - 10... \: equation(1)}$

$\: \bf{(2)2x - y = - 9 \: ..... \: equation(2)}$

$\: \large \orange { \bold{ \underline{ \underline{ \: step \: by \: step \: explaination}}}}$

$\: \bullet \bf{ \:multiply \: in \: equation \: (2) \: by \: 3}$

$\: \bf{we \: get \: 6x - 3y = - 27.....equation(3)}$

$\: \\ \implies \displaystyle \sf \: subtracting \: equation \: (1) \: and \: (3)$

$\: \implies \displaystyle \sf \: 6x - 3y = - 27$

$\: \: \: \: \: \: \: \: \: \: \displaystyle \sf \: 6x - 3y = - 10$

$\: \: \implies \displaystyle \bf \: x = - 17$

$\: \bullet \underline{ \displaystyle \sf \: { \: substitute \: the \: value \: of \: x \: in \: equation \: (1)}}$

$\: \: \implies \displaystyle \sf \: 6( - 17) - 3y = - 27$

$\: \implies \displaystyle \sf \: - 102 - 3y + 27 = 0$

$\: \implies \displaystyle \sf \: - 75 - 3y = 0$

$\: \implies \displaystyle \sf \: 3y = - 75$

$\: \: \implies \displaystyle \sf \: y = \frac{ - 75}{3}$

$\: \: \implies \displaystyle \sf \: y = \cancel \frac{ - 75}{3} = - 25$

$\: \: \implies \boxed{ \underline{ \bf{y = - = 25}}}$

$\: \: \boxed{ \underline{ \bf{ \color{green} \: the \: solutions \: are \: x = - 17 \: and \: y = - 25}}}$