How to tell if an equation has no solution

So, the given equation has no solution when b + 7 = 4. b + 7 = 4. Subtract 7 from both sides. b = -3. Therefore, the given equation has no solution when b = -3.

Solving systems of linear equations

When two equations have the same slope, they will have either no solution or infinite solutions. By putting both equations into the form , we get: and. With the equations in this form, we can see

System of Equations has No Solution or Infinitely Many Solutions

The first way to tell if a quadratic has no real solution is to look at the discriminant. If the discriminant is negative, then the quadratic equation has no real solution. The discriminant is

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How to tell if an equation has one solution, no solution

How to tell if a linear equation has one solution, no solution, or infinitely many solutions.

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Equations with No Solution or Infinitely Many Solutions

When a problem has no solution you’ll end up with a statement that’s false. For example: 0=1This is false because we know zero can’t equal one. Therefore we can conclude