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.

What does no solution mean example?

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.

Does no solution mean 0?

“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.

What makes an equation have no solution?

Explanation: When finding how many solutions an equation has you need to look at the constants and coefficients. The coefficients are the numbers alongside the variables. ... If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.

What is it called when there is no solution?

If a system has no solution, it is said to be inconsistent .

One Solution, No Solution, or Infinitely Many Solutions - Consistent & Inconsistent Systems

Is no solution dependent or independent?

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.

What is the difference between no solution and all real numbers?

When any and all real numbers substituted in for 'x' will satisfy the equation. When the solution has zero in the denominator. When the solution obtained is not true and no value of 'x' will satisfy the equation. 2 does not equal 6 so the equation has no solution.

How do you tell if an inequality has no solution?

Isolate the absolute value expression on the left side of the inequality. If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.

Is 4x 4x no solution?

Yes, it does.

Is 0 0 infinite or no solution?

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

What does 0 mean regarding the solution to the system?

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.

What is a non zero solution Class 10?

A solution or example that is not trivial. Often, solutions or examples involving the number zero are considered trivial. Nonzero solutions or examples are considered nontrivial. For example, the equation x + 5y = 0 has the trivial solution (0, 0).

What are infinite solutions examples?

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.

What does no solutions look like?

Sometimes 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 is a no solution inequality?

If you come across an inequality that indicates information that is not true, then the inequality has no solution.

What happens when an inequality has no solution?

Note: Can an inequality have no solution? You bet it can! An inequality has no solution will always give you a contradiction, no matter what value you plug in for the variable.

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.

What is a dependent solution?

If the systems of equations are dependent, it means that there are an infinite number of solutions. So in order to determine a single solution (out of the infinite possibilities), the value of x will depend on what you choose as the value of y.

What is the condition for no solution in the pair of linear equations in two variables?

If the lines are parallel, there is no solution for the pair of linear equations. If there is no solution of the given pair of linear equations, the equations are called inconsistent.

Under what conditions on A and B will the linear system have no solutions One solution infinitely many solutions?

My Answer: It is infinitely many solutions when 2a = b because you can set a to be any arbitary value and it will solve b correctly. There is no solutions when it is the opposite: 2a is not equal to b.

How do you know if there are 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.

How many solutions exist for the given equation?

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.

What is the meaning of non-trivial solution?

1. not trivial. 2. Math. noting a solution of a linear equation in which the value of at least one variable of the equation is not equal to zero.