Is 0 0 Infinite Or No Solution?

How do you write an equation with no solution?

To create a no solution equation, we can need to create a mathematical statement that is always false.

To do this, we need the variables on both sides of the equation to cancel each other out and have the remaining values to not be equal.

Take this simple equation as an example..

Why do we equate equations to zero?

Essentially, the zero is stating where the equation intersects with the x axis, because when y = 0, the the equation is on the x axis. Also, it makes it really convenient for equations like y=8×2−16x−8 because when finding the root (or solution) (or value of x when = 0), we can divide out the 8.

What is the difference between infinite and 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.

What is your solution if your variables go away and you are left with 0 0?

2 Answers. If you end with 0=0 , then it means that the left-hand side and the right-hand side of the equation are equal to each other regardless of the values of the variables involved; therefore, its solution set is all real numbers for each variable.

Does 0 0 mean all real numbers?

Division by zero in arithmetic is undefined since implies that , which cannot be true for finite, nonzero numbers and . … If 0/0 is equal to all real numbers, then all real numbers would be equal to each other.

What is an example of no solution?

When a problem has no solution you’ll end up with a statement that’s false. For example: 0=1 This is false because we know zero can’t equal one. Therefore we can conclude that the problem has no solution. You can solve this as you would any other equation.

How do you know if a solution is infinite?

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

How do you know if a system has infinitely many solutions?

A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is has solution set (4-3z, 5+2z, z) where z can be any real number. In this case z is called the parameter.

What does a graph with infinite solutions look like?

Infinite Solutions If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

What happens when a system of equations equals 0?

Since 0 = 0 for any value of x, the system of equations has infinite solutions. Every ordered pair (x, y) which satisfies y = x + 17 (the isolation equation) is a solution to the system. The system is dependent (and consistent). The two equations describe the same line–y = x + 17.

How do you write an equation with infinite solutions?

In this case, the idea is that you have to create something that makes both the right side of the equation and the left side to be equal to each other which gives you an infinite number of solutions. so if you have 5x-8 on the left, you need 5x-8 on the right for everything to cancel and end up with 0=0.

How do you know if a system has no solution?

A system has no solutions if the lines are parallel. When solving the system, if you get a false statement (a number equal to a different number) this means there are no solutions.

What does 0 0 mean for a solution?

When the equation are similar or same in the system of linear equations. The given system of linear equations have infinitely many solution. Hence, the system of linear equations have infinitely many solution.