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  • 27-11-2021
  • Mathematics
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Determine the number of solutions the system of 6(x+2)=y and y=3(2x+3) will have.

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sqdancefan
sqdancefan sqdancefan
  • 27-11-2021

Answer:

  0 solutions

Step-by-step explanation:

The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.

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The equations can be put into slope-intercept form by eliminating the parentheses.

  6(x +2) = y   ⇒   y = 6x +12

  y = 3(2x +3)   ⇒   y = 6x +9

These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.

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