Which equations have no solution?

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 is a no 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.

What does a no solution answer look like?

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 A no solution?

“No solution” means that there is no value, not even 0, which would satisfy the equation.

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

It returns only a positive value. ⇒ |4x – 2| = -6 has a negative value -6. |3x – 6| = -5 etc will not have solutions for x. Thus, the equation |4x – 2| = -6 has no solution.

What is an example of one solution?

For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2.

Is 0 0 infinite or no solution?

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

How do you know if a problem has no solution?

Equations with no solutions

You can tell that an equation has no solutions if you try to solve the equation and get a false statement. Combine like terms 3x and 2x. Combine like terms 3x and 2x. Subtract 5x from both sides.

How do you know if a system has no solution?

A graph of another line goes through the points one, two and a half and three, two. These two lines never intersect. No solution. A system of linear equations has no solution when the graphs are parallel.

What is no solution on a graph?

A graph with no solution will have functions that do not all intersect at any point. If the system consists of two functions, then there will be no points of intersection. A system of two linear equations has no solution if the lines are parallel.

What does no solution mean in inequalities?

If an inequality has no real solution, this means that there are no numbers that can be substituted into the inequality to make the statement true. If an inequality has all real numbers as the solution, this means that every real number can be substituted into the inequality to make a true statement.

What does no solution mean on a graph?

It means that there is no solution. If we graph these lines we see that they don’t intersect. In fact, they’re parallel lines. Created using Desmos. Remember that the solution of a system is the point where the lines cross.

Is 0 0 infinite or no solution?

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

Which inequality has no solution?

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

How do you tell if an inequality is 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.

Which of the inequalities has no solution?

When two inequalities have parallel lines and the shaded areas do not overlap (i.e., the opposite areas are shaded), then the system has no solution. This means that there is no coordinate point that makes both inequalities true.

What is an example of an infinite solution?

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 is an inequality example?

The expression 5x − 4 > 2x + 3 looks like an equation but with the equals sign replaced by an arrowhead. It is an example of an inequality. This denotes that the part on the left, 5x − 4, is greater than the part on the right, 2x + 3.