What is Y-3x=-2 and Y+x=-6

asked Mar 6, 2016 202k views

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y - 3x = -2 ⇒ 2y - 6x = -4
y + x = -6 ⇒ 2y + 2x = -12
-8x = 8
-8 -8
x = -1
y - 3(-1) = -2
y + 3 = -2
-3 -3
y = -5
(x, y) = (-1, -5)

Vivek Jha answered Mar 9, 2016

7.7k points

1 vote

Rearranging the first equation gives:

y=3x-2

Substituting this into the other equation gives:

$y+x=-6 \\(3x-2)+x=-6 \\4x-2=-6 \\4x=-4 \\x=-1$

If x=-1:

$y+(-1)=-6 \\y=-5$

So x=-1, y=-5

Valenzio answered Mar 10, 2016

8.4k points

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