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How do you solve the following system: $2 x - \frac{y}{2} = 4, 4 x - y = 6$ $2x-y/2=4, 4x-y=6$ ?

1 Answer

Apr 22, 2018

No solution is possible; the equations represent a pair of non-co-linear, parallel lines

Explanation:

$2 x - \frac{y}{2} = 4$ $2x-y/2=4$ after multiplying for sides by $2$ $2$
$XXXX$ $color(white)("XXXX")$ becomes $4 x - y = 8$ $4x-y=8$

which has the same slope as $4 x - y = 6$ $4x-y=6$
but with a different y-intercept.

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