How do solve the following linear system?: $-8x + y = 2 , 3x - 2y = -6$ ?

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Answer 1 · 2018-07-15T01:58:33

$y=3 3/13$
$x=2/13$

$-8x+y=2$ --- (1)
$3x-2y=-6$ --- (2)

From (1),
$-8x+y=2$
$y=2+8x$ --- (3)

Sub (3) into (2)
$3x-2y=-6$
$3x-2(2+8x)=-6$
$3x-4-16x=-6$
$-13x-4=-6$
$-13x=-2$
$x=2/13$ --- (4)

Sub (4) into (3)
$y=2+8x$
$y=2+8times2/13$
$y=3 3/13$

How do solve the following linear system?: -8x + y = 2 , 3x - 2y = -6 -8x + y = 2 , 3x - 2y = -6 ?