Solve:
$2 x + y = 4; 6 x + 2 y = 8$

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Solution

$2 x + y = 4$ ........ $(1)$
$6 x + 2 y = 8$
or $3 x + y = 4$ ....... $(2)$
Eqn $(2) -$ Eqn $(1)$
$\Rightarrow 3 x + y - 2 x - y = 4 - 4$
$\Rightarrow x = 0$
Put $x = 0$ in $(1)$ we get
$\Rightarrow 2 \times 0 + y = 4$
$\Rightarrow y = 4$
$∴ x = 0, y = 4$

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