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Q: How many solutions does an inconsistent equation have?

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An inconsistent equation (or system of equations) is one that has no possible solutions.

How many solutions does an inconsistent system have

How many solutions does an inconsistent system have

If a system of equations is inconsistent, there are no solutions.

An identity equation has infinite solutions.

It will depend on the equation.

Any system of linear equations can have the following number of solutions: 0 if the system is inconsistent (one of the equations degenerates to 0=1) 1 if the system is linearly independent infinity if the system has free variables and is not inconsistent.

If a system is inconsistent it cannot have any solutions.A system of equations is considered inconsistent when the lines are parallel which means they never intersect so there are no solutions.A system is considered consistent when they intersect at one point and have one solution (Also known as an independent system of equations).Dependent Systems are when the lines coincide (the same equation) so they have an infinite number of solutions.

If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.

It has the following solutions.

inconsistent

If the highest degree of an equation is 3, then the equation must have 3 solutions. Solutions can be: 1) 3 real solutions 2) one real and two imaginary solutions.

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