By Mansi Yadav

Verified by Ajay Kumar

How many solutions does the equation 3x - 2y = 6 have?

  1. None

  2. One

  3. Two

  4. Infinite

Answer: D

Solution

Solution: The equation \(3x-2y=6\) is a linear equation in two variables. For every chosen value of x, a corresponding value of y can be found using \(y=(3x-6)/2\). Therefore, it has infinitely many real solutions. Trick: A single linear equation in two variables generally has infinitely many real solutions.

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