What value of M gives a system with no solution?

1 Expert Answer Then any equation of the form y = -2x + b, b≠1 will create a system with no solution. Hence the values of m and b are m = -2, b ≠ 1.

How do you tell if a system of equations has no solution or infinitely many 3 variables?

Identifying Dependent and Inconsistent Systems

1. Independent systems have a single solution. Solving the system by elimination results in a single ordered triple (x,y,z) ( x , y , z ) .
2. Dependent systems have an infinite number of solutions.
3. Inconsistent systems have no solution.

What is true when a system has no solutions?

A system has no solutions if two equations are parallel.

How do you make an equation with no solution?

To find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are different, then the equation has no solutions. So, the constant terms are different. This means the equation has no solutions if the variable terms are the same.

When there is no solution of a system of equation then the system is called as system of equation?

A system that has no solution is called inconsistent; a system with at least one solution is called consistent.

What causes a system of equations with no solution?

A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line. Want to learn more about the number of solutions to systems of equations?

What is an equation with no solution called?

A set of equations with no solutions is called inconsistent if there is no simultaneous solution for the set.

How do you write no solution in interval notation?

Solution Sets for Equations If an equation has no solutions, we write ∅ for the solution set. ∅ means the null set (or empty set). Sometimes, you may be given a replacement set, and asked to test whether the equation is true for all values in the replacement set.