Question: What Is No Solution In Math?

What is an example of an equation with 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..

Is 0 0 infinite or no solution?

For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . Here is a problem that has an infinite number of solutions. If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.

Why is 1 0 1?

In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

What happens when an equation is 0 0?

If the elimination produces the equation 0=0, then the two equations are for the same line. This means that there are an infinite number of solutions.

What is another word for no solution in math?

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

What is the symbol for no solution?

symbol ØSometimes we use the symbol Ø to represent no solutions. That symbol means “empty set” which means that the set of all answers is empty. In other words, there is no answer.

What does infinite solutions look like?

An infinite solution has both sides equal. For example, 6x + 2y – 8 = 12x +4y – 16. If you simplify the equation using an infinite solutions formula or method, you’ll get both sides equal, hence, it is an infinite solution.

How do you tell if a system has no solution?

A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel. Infinite solutions.

How do you tell if a graph has no solution?

If the graphs of the equations intersect, then there is one solution that is true for both equations. 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.

How do you know if two equations have no solution?

The coefficients are the numbers alongside the variables. The constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.

How do you know if there is no solution or infinite solutions?

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.

What is the value of 0 by 0?

0/0 is undefined. If substituting a value into an expression gives 0/0, there is a chance that the expression has an actual finite value, but it is undefined by this method. We use limits (calculus) to determine this finite value.

What is the formula of no solution?

Case 2. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. This type of equation is called an inconsistent pair of linear equations.

What does the R mean in math?

In maths, the letter R denotes the set of all real numbers. … In other words, real numbers are defined as the points on an infinitely extended line. This line is called the number line or the real line, on which the points of integers are evenly ranged.

Do parallel lines mean no solution?

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an “inconsistent” system of equations, and it has no solution.

Which equation has no solution 4x 2 =- 6?

Answer: Option A) |4x – 2| = – 6 has no solution. Since left hand side of function is in modulus, so it will always gives positive values but right hand side is – 6 , So, there are no values of x that make the equation true.

Why do parallel lines never intersect?

Parallel lines do not meet at a point. … Actually parallel lines cannot meet at a point or intersect because they are defined that way, if two lines will intersect then they will not remain parallel lines.