How do you solve the following system?: $x - y = - 6, x + y = 4$ $x - y = -6, x+y=4$

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Answer 1 · 2015-11-15T08:35:20

The solution for the system of equations is
$x = - 1, y = 5$ $color(blue)(x=-1,y=5$

$x - y = - 6$ $xcolor(blue)(-y)=-6$ ......equation $1$ $1$
$x + y = 4$ $x+color(blue)(y)=4$ ...........equation $2$ $2$

Adding the two equations results in elimination of $y$ $color(blue)(y$

$xcancelcolor(blue)(-y)=-6$
$x+cancelcolor(blue)(y)=4$

$2x=-2$

$x=(-2)/2$

$color(blue)(x=-1$

Finding $y$ from equation $1$
$x+y=4$

$y=4-x$

$y=4-(-1)$

$y=4+1$

$color(blue)(y=5$

How do you solve the following system?: x - y = -6, x+y=4 x−y=−6,x+y=4 x - y = -6, x+y=4