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If the equation ax+b=cx+d has no solution what must be true about a, b, c, and d?

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Answer:

  • a = c
  • b ≠ d

Explanation:

For there to be no solution, the lines represented by the left-side and right-side expressions must be parallel. That is, the coefficients of x must be identical,

a = c

and the y-intercepts must be different:

b ≠ d.

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