Watch closely:
6x = 3x + 27
Subtract 3x from each side:
3x = 27
Divide each side by 3:
x = 9
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3x + 2y = 12 ie 2y = 12 - 3x so y = 6 - 3x/2
y-3x+6y=12 7y=3x+12 y=3x/7 +12/7
You cannot solve one linear equation in two unknown variables.
3x - 2 = 2x + 4 3x - 2x = 4 + 2 x = 6
7x+6 = -3x-24 7x+3x = -24-6 10x = -30 x = -3