0

What does it mean for a number to be a solution in an equation?

Updated: 11/3/2022

Wiki User

13y ago

The solution of an equation means the number that the variable must be

in order to make the equation a true statement. If the variable has any

other value, then the equation is not true.

For example, here's an equation:

x - 4 = 2

Can 'x' be 5 ? If it is, then 5-4=2. That's not true, so 'x' can't be 5.

Can 'x' be 9 ? If it is, then 9-4=2. That's not true, so 'x' can't be 9.

Can 'x' be 6 ? If it is, then 6-4=2. That's true. So '6' is the solution to the equation.

Wiki User

13y ago

Earn +20 pts
Q: What does it mean for a number to be a solution in an equation?
Submit
Still have questions?
Related questions

A number that produces a true statement when substituted?

I assume you mean, in an equation. Such a number is called a "solution" or a "root" of the equation.

If an equation has a negative number is the solution acidic?

No, having a negative number in an equation does not necessarily mean the solution is acidic. The acidity or basicity of a solution is determined by the concentration of hydrogen ions (H+) or hydroxide ions (OH-) present, not by the sign of a number in an equation.

What is A number that makes a equation true?

The solution set is the answers that make an equation true. So I would call it the solution.

Explain how you an determine if the number is a solution of an equation?

Substitute the number in the equation. If the resulting statement is true the number is a solution to the equation.

What does it mean to be a solution to an equation?

A solution to an equation is a set of values for the variables in the equation which make it true.

A value that makes an equation true?

Any number that makes an equation true is a 'solution of an equation'. it is a solution

Number that makes an equation true?

A number that makes an equation true is its solution.

What does no solution mean in algebra?

An equation can have zero solutions, one solution, two solutions, or many solutions. A solution is any number that, when replaced into the equation, will give an equality. An example of an equation without a solution is x = x + 1. No matter what number you use for "x", the right part will always be one more than the left part. Therefore, the equation has no solution. (Also, if you subtract "x" from each side, you get the equation 0 = 1, which is obviously false.)

What is the word for a number that makes an equation true?

Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.

What does it mean when an equation has no solution?

It means that the equation has no way of working it out / There is no answer.

Which number belongs to the solution set of the equation 8x120?

If you mean: 8x = 120 then the value of x is 15

When can you say that a number is called a solution in algebraic expression?

An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.