For what value of a would the following system of equations have infinitely many solutions?x - 2y = 153x - 6y = 5a

Question

For what value of a would the following system of equations have infinitely many solutions?x - 2y = 153x - 6y = 5a
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Solution 1

The system of equations given is:

  1. x - 2y = 15
  2. 3x - 6y = 5a

To find the value of 'a' for which the system of equations has infinitely many solutions, the two equations must be equivalent to each other. This means that the second equation must be a multiple of the first.

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