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How do you determine whether a number is a solution of an equation?

Substitute the value found back into the equation, evaluate the expressions and see if the resulting equation is true.


What is the value of a variable that makes an equation true?

That's the "solution" of the equation.


What the value of the variable that make the equation true?

The value of a variable is called the solution. You can determine if the solution is correct by solving for the variable by using the Distributive Property, and Inverse Operation. For an example: If x = 8, determine if it is a solution to 1x - 4 = 4 Replace x with 8. 1(8) - 4 = 4 1 * 8 = 8 8 - 4 = 4 4 = 4 Yes. 8 is a solution to the equation


What is the number that can replace a variable in an equation to make it a true equation?

The number that can replace a variable in an equation to make it a true equation is called the solution or root of the equation. This number satisfies the equation when substituted for the variable. In algebra, finding the solution involves solving for the variable by performing various operations to isolate it on one side of the equation. The solution is the value that balances both sides of the equation, making it true.


The value of a variable which satisfies an equation is called to the equation?

a solution


A value for a variable that makes the equation true?

That's the "solution" to the equation described by the sentence.


Reduces an equation that has two variables to an equation that has one variable It is then possible to find the solution for this variable?

Substitution


What reduces an equation that has two variables to an equation that has one variable It is then possible to find the solution for this variable?

substitution


What reduces an equation that has two variables to an equation that has one variable It is the possible to find the solution for this variable?

substitution


Why do you isolate the variable on one side the the equation when solving a linear equation?

Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.


How cam you determine what two equations' solution is?

Several methods exist. For example: solve one equation for one variable, replace that variable in the other equation. (Two simultaneous equations will often have two variables each.)


What does it mean when it says determine whether the given value of the variable is a solution?

I'm going to assume you have an equation to go with your variable? It means "Check if this number works" What to do is put the given value into the equation instead of the variable and see if the result is true - if it is you have a solution, if not you don't. I'll make one up as a demo: Equation : a + 4 = 7 is a = 2 a solution? a+4=7 2+4=7 6=7 (FALSE!) No this given value is not a solution.