# Can a problem be solved if there exists no solution for it in any context?

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## What if there is no solution to a problem?

“If there is no solution to the problem then don’t waste time worrying about it. If there is a solution to the problem then don’t waste time worrying about it.”

## What is an example of a no solution problem?

The last type of equation is known as a contradiction, which is also known as a No Solution Equation. This type of equation is never true, no matter what we replace the variable with. As an example, consider 3x + 5 = 3x – 5. This equation has no solution.

## What does no solution mean?

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. Also, be careful not to make the mistake of thinking that the equation 4 = 5 means that 4 and 5 are values for x that are solutions.

## How do you solve an equation that has no solution?

Great. Um let's see I got it X on the left side of the equal sign and some X's on the right let's combine these by subtracting an 8x from both sides. Now as soon as I do that you'll notice 8 X minus 8

## Which systems have no solution?

A system of linear equations has no solution when the graphs are parallel.

## How do you solve infinite solutions with no solutions?

And negative 4y plus 4y cancels. So that's simply 0. Negative 10 plus 8 is negative 2. Now 0 does not equal negative 2.. So this is the case where we have no solution.

## How do you tell if an equation has no solution one solution or infinite solutions?

If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions.

## What is the name of an equation that has no solution?

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

## How do you tell if a system of equations has no solution or infinitely many without graphing?

Two equations have parallel lines (no solution to the system) if the slopes are equal and and y-intercepts are not. Adding the equations gives an obviously false statement. This system of equations has no solution.

## Can a system of equations have no solution?

A system has no solutions if two equations are parallel.

## How can you tell just by looking at the following system that it has no solution?

If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

## When a system of equations has an infinite number of solutions the?

consistent

It means that if the system of equations has an infinite number of solution, then the system is said to be consistent.

## Is no solution dependent or independent?

Goes when there's no solution when the lines are parallel this is called inconsistent. Okay so it just means that there's no. There's no point of intersection. You know there's no point that they

## Are infinite solutions consistent?

then, the linear equations’ pair is consistent. Let these lines coincide with each other, then there exist infinitely many solutions since a line consists of infinite points. In such a case, the pair of linear equations is said to be dependent and consistent.

## Is 0 0 infinite or no solution?

infinite solutions

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

## Do all equations have a solution?

Sometimes equations have no solution. This means that no matter what value is plugged in for the variable, you will ALWAYS get a contradiction.

## Does a row of zeros always mean there are infinite solutions?

As you can see, the final row of the row reduced matrix consists of 0. This means that for any value of Z, there will be a unique solution of x and y, therefore this system of linear equations has infinite solutions.

## What is the difference between infinitely many solutions 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.

## For what values of k if any will the given equation have no solution?

(1) No solution occurs only for k = 1.