Question

elimination method x-y=3 ,3x-2y=10​

Answer 1

here's your answer

hope it helps

Answer 2

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

$x-y=3 -------- (i)$

$3x-2y=10 -------- (ii)$

$\tt\orange{Multiplying\: (-2)\: with \: the\: (i) \: equation:}$

$-2x+2y=-6$

$3x-2y=10$

$\tt\orange{Adding \: equations\: (i)\: and \: (ii):}$

$\therefore -2x+ \cancel{2y}+3x- \cancel{2y} = -6+10$

$\therefore 3x-2x = 4$

$\therefore \green{\fbox{x=4}}$

$\tt\orange{Substitute\: value \:of \: x=4 \: in \: equation \: (i):}$

$\therefore x-y=3$

$\therefore 4-y=3$

$\therefore y=4-3$

$\therefore \green{\fbox {y=1}}$

$\large{\bf\blue{Hence, \: the \: values \: of \: x \: and \: y \: are }}$ $\large{\bf\blue{ 4 \: and \: 1 \: respectively.}}$