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

Sagot :

Rearranging the first equation gives:

[tex]y=3x-2[/tex]

Substituting this into the other equation gives:

[tex]y+x=-6 \\(3x-2)+x=-6 \\4x-2=-6 \\4x=-4 \\x=-1[/tex]

If x=-1:

[tex]y+(-1)=-6 \\y=-5[/tex]

So x=-1, y=-5
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)