Can 0 0 be a solution to a system of equations?

Can 0 0 be a solution to a system of equations?

Since 0 = 0 for any value of x, the system of equations has infinite solutions.

How do you tell if a system of equations has no solution determinant?

A nxn nonhomogeneous system of linear equations has a unique non-trivial solution if and only if its determinant is non-zero. If this determinant is zero, then the system has either no nontrivial solutions or an infinite number of solutions.

What does it mean when you get 0 0 in systems of equations?

For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions. For an answer to have no solution both answers would not equal each other.

Which system of equations have no solution?

inconsistent system
An inconsistent system has no solution. Notice that the two lines are parallel and will never intersect. A dependent system has infinitely many solutions. The lines are exactly the same, so every coordinate pair on the line is a solution to both equations.

What equations have no solution?

If the variable terms are the same and the constant terms are different, then the equation has no solutions. and the constant term on the right side is 10. So, the constant terms are different. This means the equation has no solutions if the variable terms are the same.

Is 1 1 A solution to a system of equations?

Graph of System Since the two lines intersect at the point (1, 1), this point is a solution to the system. Thus, the solution set to the system of equations is {(1, 1)}.

What does it mean if an equation has no solution?

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. Note that we have variables on both sides of the equation.

Can a homogeneous system have no solution?

No, homogeneous system of linear equations have either one or infinitely many solutions. The trivial solution is when all variables are assigned to be 0.

When solving a system using substitution if you obtain an identity then the system has no solution?

If the result is an equation that is impossible such as 3=5. This indicates that the system has no solution. If the result is an equation that is always true (called an identity equation) then the system has an infinite number of solutions.

How do you write a system of equations with infinitely many solutions?

An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.