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What is the meaning of solution of an equation?
The solution to an equation consists of the value (or values) of all the variables such that the equation is true when the variable(s) take those values.
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.
If an equation is an identity what is true about the solution?
It is true for all permissible values of any variables in the equation. More simply put, it is always true.
What is the difference between a linear equation with one variable and a linear equation with two variables?
A function of one variable is of the form y=f(x) where all you need to know in order to get values for y is the value of the independent variable, x. A function of two variables is of the form z=f(x,y) where you need to know the values of both x and y to get a value for z. A linear equation is simply and algebraic equation where all variables, regardless of how many there are, are raised to the power of one.
What are equations that are true for all values of variables?
Equations that are true for all values of their variables are known as identities. A common example is the equation (a + b = b + a), which illustrates the commutative property of addition. Another example is the Pythagorean identity ( \sin^2(x) + \cos^2(x) = 1), which holds true for all real values of (x). Such equations reflect fundamental relationships between the variables involved and do not depend on specific values.
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 is the meaning of solution of an equation?
The solution to an equation consists of the value (or values) of all the variables such that the equation is true when the variable(s) take those values.
What is any and all values of the variable that satisfies an equation inequality system of equations or system of inequalities?
They make up the solution set.
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.
What is the definition of proving identities?
It means that you prove that an equation is true for ALL values of the variable or variables involved.
If an equation is an identity what is true about the solution?
It is true for all permissible values of any variables in the equation. More simply put, it is always true.
What is a solution set?
is a set of all replacements that make an equation time in mathematics solution set is set of values which satisfies a given equation. For solving solutions you can get help from online Find Math Solutions.
What is the difference between a linear equation with one variable and a linear equation with two variables?
A function of one variable is of the form y=f(x) where all you need to know in order to get values for y is the value of the independent variable, x. A function of two variables is of the form z=f(x,y) where you need to know the values of both x and y to get a value for z. A linear equation is simply and algebraic equation where all variables, regardless of how many there are, are raised to the power of one.
What are equations that are true for all values of variables?
Equations that are true for all values of their variables are known as identities. A common example is the equation (a + b = b + a), which illustrates the commutative property of addition. Another example is the Pythagorean identity ( \sin^2(x) + \cos^2(x) = 1), which holds true for all real values of (x). Such equations reflect fundamental relationships between the variables involved and do not depend on specific values.
Is a formula all numbers or variables?
It is usually not all numbers. It can be all variables, such as area of a rectangle = L*B where L and B are the length and breadth. But to use the formula it is necessary to substitute the numerical values of the variables.
What is an equation that's true for all values?
an equation that's true for all values is an identity.
What makes an equation either inconsistent consistent dependent or independent?
That doesn't apply to "an" equation, but to a set of equations (2 or more). Two equations are:* Inconsistent, if they have no common solution (a set of values, for the variables, that satisfies ALL the equations in the set). * Consistent, if they do. * Dependent, if one equation can be derived from the others. In this case, this equation doesn't provide any extra information. As a simple example, one equation is the same as another equation, multiplying both sides by a constant. * Independent, if this is not the case.
