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What is the result of solving an equation to find values for the variables to make the equation true?
The result of solving an equation to find values for the variables is known as the solution set. This set includes all possible values that satisfy the equation, making it true when substituted back into the original equation. If there is a unique solution, it is a single value; if there are multiple solutions, they are typically expressed in a set or as a range. In some cases, there may be no solution at all.
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What is s solving an equation?
An equation is a mathematical statement that may (or may not) be true, defined for some variables. Solving an equation is finding those values of the variables for which the equation or statement is true.
The result of solving and equation is called the?
The result of solving an equation is called the solution. It is the value or set of values that satisfy the equation, making both sides equal when substituted into it. In the context of algebra, solutions can be numbers, variables, or expressions that fulfill the given mathematical condition.
What are the variables in this equation 3ab plus c over 2?
The variables of this equation are your letters: a, b, and c. Variables merely stand in an equation to represent values that we don't know. "Solving" an equation is the process by which we uncover those values. In this particular case, since there are three variables, we cannot discover their values unless we have two other equivalent equations (a system of equations).
What does equation mean in a algebraic equation?
In an algebraic equation, the term "equation" refers to a mathematical statement that asserts the equality of two expressions. It typically consists of variables, constants, and operators, and is often presented in the form "A = B," where A and B represent the two expressions being compared. The equation signifies that there is a specific value or set of values for the variables that makes this equality true. Solving the equation involves finding these values.
Do you solve an expression the same way you solve an equation?
If we are talking about the algebraic expressions, then an expression can be simplified or be evaluated for specific values of its variables, while an equation need to be solved, in other words to find the values of the variables that make the equation a true statement. If we are solving an equation, then we can work in the same way that we can simplify an expression (since an equation is a statement that states that two expressions are equal), or factoring an expression.
What is s solving an equation?
An equation is a mathematical statement that may (or may not) be true, defined for some variables. Solving an equation is finding those values of the variables for which the equation or statement is true.
The result of solving and equation is called the?
The result of solving an equation is called the solution. It is the value or set of values that satisfy the equation, making both sides equal when substituted into it. In the context of algebra, solutions can be numbers, variables, or expressions that fulfill the given mathematical condition.
What are the variables in this equation 3ab plus c over 2?
The variables of this equation are your letters: a, b, and c. Variables merely stand in an equation to represent values that we don't know. "Solving" an equation is the process by which we uncover those values. In this particular case, since there are three variables, we cannot discover their values unless we have two other equivalent equations (a system of equations).
When an equation has two variables there is a number of values that the two variables could have?
If an equation has two variables, we'll call them (x,y), the variables can be any value as long as both sides of the equation have the same result. If the equation was x = y, then the variables could be (1,1), (2,2), (3,3),etc...
What are you trying to find when solving a system of linear equations?
You are trying to find a set of values such that, if those values are substituted for the variables, every equation in the system is true.
What does equation mean in a algebraic equation?
In an algebraic equation, the term "equation" refers to a mathematical statement that asserts the equality of two expressions. It typically consists of variables, constants, and operators, and is often presented in the form "A = B," where A and B represent the two expressions being compared. The equation signifies that there is a specific value or set of values for the variables that makes this equality true. Solving the equation involves finding these values.
What information does and equation tell you?
the relationship between variables and/or variables and values
Do you solve an expression the same way you solve an equation?
If we are talking about the algebraic expressions, then an expression can be simplified or be evaluated for specific values of its variables, while an equation need to be solved, in other words to find the values of the variables that make the equation a true statement. If we are solving an equation, then we can work in the same way that we can simplify an expression (since an equation is a statement that states that two expressions are equal), or factoring an expression.
What are variables and values in math?
In mathematics, variables are symbols, often letters, that represent unknown or changeable quantities. They can take on different values within a given context or equation. Values, on the other hand, are the specific numbers or quantities that a variable can represent at any given time. Together, variables and values are fundamental to algebra and help in formulating and solving equations.
What is the solution to the equation?
It is the set of values for all the variables in the equation which make the equation true.
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.
What is an equation that is true regardless of the values of the variables called?
An equation that is always true is an identity.
