Can expressions have no solution?

Can expressions have 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. Watch this tutorial and learn what it takes for an equation to have no solution.

Why does this 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 an equation has no solution?

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

What does no solution mean?

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. No Solution Equations.

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.

What is the condition for no solution?

For no solution, Two lines have no solution, if these two lines are parallel to each other. The lines are parallel to each other means that the slopes of the lines are equal.

When a system has no solution?

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

How do you know if a system has no solution?

How do you create a problem 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.

What’s the difference between no solution and undefined?

If something is undefined in mathematics, that just means that there’s no object/operation in the system we’re working in that has a given property. If an equation or system of equations has no solution, that means there’s no object in the relevant system that satisfies the equation(s).

Do equations with no solution have any real life use?

Equations with no s…” Wait. Equations with no solution cannot apply to something in real life because of the laws of thermodynamics, so if these equations have no real life use why are we learning about them at all. Or do they have a real life use.

How do you solve two equations with no solution set?

None of the other answers. Use the substitution method to solve for the solution set. Substitute into equation 1: If equation 1 was solved for a variable and then substituted into the second equation a similar result would be found. This is because these two equations have No solution.

Can an equation have more than one solution?

Equations with many solutions or no solution : When we solve a linear equation in one variable, we may find exactly one value of x that will make the equation a true statement. But, when we simplify some equations, we may find that they have more than one solution or they do not have solution.

How many solutions does |X+a|=0 give?

Direct link to Kim Seidel’s post “If you have: |x+a|=0, you…” If you have: |x+a|=0, you get one solution. If you have: |x+a|=a positive number, you usually get 2 solutions. If you have: |x+a|=a negative number, then it has no solution. Hope this helps.