Question

find the consistency of the pair of equations 2x-y=2 and 6x-2y=3

Answer 1

I think my ans is right.hope it will be helpful.

Answer 2

$hey \: mate \: here \: is \: your \: answer...$
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$2x - y = 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - (1)$
$6x - 2y = 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - (2)$

$on \: multiplying \: equation \: (1)by \: 2 \\ \: \: \: \: \: and \: subtracted \: them$

$4x - 2y = 4 \\ 6x - 2y = 3$

$after \: subraction... \: \: \: we \: get..$

$- 2x = 1 \\ \: \: \: \: \: \: x = \frac{ - 1}{2}$


$on \: putting \: the \: value \: of \: x \: in \: \\ equation \: (1)$

$2( \frac{ - 1}{2} ) - y = 2 \\ \\ \: \: \: \: \: \: - 1 - y = 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - y = 2 + 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - y = 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = - 3$

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$hope \: it \: helps.....$