How do you solve x - y = 6 and x + y = -2?

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How do you solve x - y = 6 and x + y = -2?

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Answer 1 · 2018-05-07T19:53:13

$x = 2, y = - 4$ $x=2, y=-4$

Explanation:

The question comes up with using substitution, if you rearrange the first equation $x - y = 6$ $x-y=6$ to $x = 6 + y$ $x=6+y$
Then substitute this into the second equation
$x + y = - 2 \Rightarrow (6 + y) + y = - 2$ $x+y=-2 =>( 6+y) +y=-2$
$6 + 2 y = - 2$ $6+2y=-2$
$2 y = - 8$ $2y=-8$
$y = - 4$ $y=-4$
Put $y = - 4$ $y=-4$ into either equation
$\Rightarrow x - (- 4) = 6 \Rightarrow x + 4 = 6 \Rightarrow x = 2$ $=> x-(-4)=6 => x +4=6 =>x =2$

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How do you solve x - y = 6 and x + y = -2?

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