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5x -2y = 1, 5x -6y = b

what is the value of b so that it has no solution

asked
User Splat
by
8.7k points

1 Answer

3 votes

Answer:

DNE

Explanation:

You want the value of 'b' so that the system of equations has no solution.

  • 5x -2y = 1
  • 5x -6y = b

No solution

In order for the system of two linear equations to have no solution, the equations must describe parallel lines. That is, the lines must have the same slope.

Slope

The slope of the line written in the form px -qy = c is the coefficient of x when the equation is rearranged to "y=" form. Here, that is p/q.

The slope of the first line is 5/2; the slope of the second line is 5/6. These values are different and do not depend on 'b'.

There is no value of 'b' that will make this system have no solution. It does not exist (DNE).

answered
User Tarakay
by
7.9k points

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