How do solve the following linear system?: $-x - y = 8 , 8x+2y=2$ ?

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Answer 1 · 2016-03-13T13:23:50

The solution for the system of equations is:
$color(green)(x =3$
$color(green)(y = -11$

$-x-y=8$ , multiplying this equation by $8$
$color(green)(-8x) -8y=64$ ..........equation $(1)$

$color(green)(8x) +2y =2$ .................equation $(2)$

Solving by elimination would result in elimination of the terms $color(green)(8x)$ :

Adding the two equations:

$cancelcolor(green)(-8x) -8y=64$
$cancelcolor(green)(8x) +2y =2$

$-6y =66$

$y = 66/(-6)$

$color(green)(y = -11$

Finding the value of $x$ from equation $(1)$ :
$-x-y=8$

$x =-y- 8$

$x =- color(green)((-11))- 8$

$x =11- 8$

$color(green)(x =3$

How do solve the following linear system?: -x - y = 8 , 8x+2y=2 -x - y = 8 , 8x+2y=2 ?