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  • 20-06-2016
  • Mathematics
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What are the x-coordinates of the solutions to this system of equations?. . x2 + y2 = 36. y = x - 6.

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mathmate
mathmate mathmate
  • 20-06-2016
x^2+y^2=36
y=(x-6)
substitute y in first equation
x^2+(x-6)^2=36
x^2+x^2-12x+36=36
simplify and factor
2x(x-6)=0
so x=0, x=6
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