X2 - 12X = 8
X2 - 12X - 8 = 0
Looks like a job for the quadratic formula.
X = - b (+/-) sqrt(b2 - 4ac)/2a
a = 1
b = -12
c = - 8
X = - (- 12) (+/-) sqrt[(- 12)2 - 4(1)(- 8)]/2(1)
X = 12 (+/-) sqrt(144 + 32)/2
X = 12 (+/-) sqrt(176)/2
X = [12 (+/-) 4sqrt(11)]/2
=======================exact answer, less factor elimination. you do approximation.
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x = 2 or x = 2/5
Substitute 2x - 6 for y in first equation: 12x - 5(2x - 6) = 30 ie 12x - 10x + 30 = 30 so 2x = 0 making x = 0 and y = -6
12x = 11x - 5, subtract both sides by 11x x = -5
its just a line, there are many answers that would work -12x-6y=0 -12x=6y x=-y/2 y=-2x