What are x and y if $2 y + x = - 4$ $2y+x= - 4$ and $y - x = - 5$ $y-x= - 5$ ?

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What are x and y if $2 y + x = - 4$ $2y+x= - 4$ and $y - x = - 5$ $y-x= - 5$ ?

1 Answer

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Answer 1 · 2015-10-27T14:35:48

$x = 2, y = - 3$ $x=2,y=-3$

Explanation:

Note that
$y - x = - 5$ $y-x=-5$
$\Rightarrow y = x - 5$ $implies y =x-5$
Put value of $y$ $y$ in $2 y + x = - 4$ $2y+x=-4$
$2 (x - 5) + x = - 4$ $2(x-5)+x = -4$
$\Rightarrow 2 x - 10 + x = - 4$ $implies 2x-10+x=-4$
$\Rightarrow 3 x = 6$ $implies 3x=6$
$\Rightarrow x = 2$ $implies x=2$
So $y = 2 - 5 = - 3$ $y = 2-5 =-3$

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What are x and y if $2 y + x = - 4$ $2y+x= - 4$ and $y - x = - 5$ $y-x= - 5$ ?

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