How do solve the following linear system?: $4 x+ 6y = 2 , -2x -8y = 4$ ?

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Answer 1 · 2016-02-24T15:22:21

The solution is:

$color(blue)(x=2$
$color(blue)(y=-1$

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

$-2x -8y=4$ , multiplying by $2$
$color(blue)(-4x) -16y=8$ .....equation $2$

Solving by elimination:
$cancelcolor(blue)(4x) +6y=2$
$cancelcolor(blue)(-4x) -16y=8$

$-10y =10$

$y= 10/(-10)$

$color(blue)(y=-1$

Finding $x$ from equation $1$ :
$4x +6y=2$

$4x +6 xx -1=2$

$4x -6=2$

$4x =2+6$

$4x =8$

$x =8/4$

$color(blue)(x=2$

How do solve the following linear system?: 4 x+ 6y = 2 , -2x -8y = 4 4 x+ 6y = 2 , -2x -8y = 4 ?