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What is the value of a if the lines 2y - 2a = 6x and y + 1 = (a + 6)x are parallel?

Apr 23, 2019

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$$2y-2a=6x\\ y = 3x+a$$

$$y+1=(a+6)x\\ y = (a+6)x-1$$

$$\text{The two lines are parallel so they have the same slope}\\ 3=(a+6)\\ a=-3$$

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Apr 23, 2019