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What do you call replacing a variable in an expression by a number and simplifying the result?
That is called 'solving'.
Can solve a system of linear equation by substitution?
Yes, a system of linear equations can be solved by substitution. This method involves solving one of the equations for one variable and then substituting that expression into the other equation. This process reduces the system to a single equation with one variable, which can then be solved. Once the value of one variable is found, it can be substituted back to find the other variable.
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
How do use substitution when solving system of equations?
You use substitution when you can solve for one variable in terms of the others. By substituting, you remove one variable from the equation, which can then be solved. Once you solve for one variable, you can use substitution to find the other.
Can algebraic expression be solved?
Yes, algebraic expressions can be solved, depending on the type of expression and the variable(s) involved. If the expression has a single variable, it can typically be solved for that variable using algebraic techniques such as simplifying, factoring, or isolating the variable. However, if the expression has multiple variables or complex operations, solving it may require more advanced algebraic techniques or numerical methods.
What do you call replacing a variable in an expression by a number and simplifying the result?
That is called 'solving'.
Can solve a system of linear equation by substitution?
Yes, a system of linear equations can be solved by substitution. This method involves solving one of the equations for one variable and then substituting that expression into the other equation. This process reduces the system to a single equation with one variable, which can then be solved. Once the value of one variable is found, it can be substituted back to find the other variable.
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
How do use substitution when solving system of equations?
You use substitution when you can solve for one variable in terms of the others. By substituting, you remove one variable from the equation, which can then be solved. Once you solve for one variable, you can use substitution to find the other.
Can algebraic expression be solved?
Yes, algebraic expressions can be solved, depending on the type of expression and the variable(s) involved. If the expression has a single variable, it can typically be solved for that variable using algebraic techniques such as simplifying, factoring, or isolating the variable. However, if the expression has multiple variables or complex operations, solving it may require more advanced algebraic techniques or numerical methods.
What is usually the second step when solving a system of nonlinear equations by substitution?
The second step when solving a system of nonlinear equations by substitution is to solve one of the equations for one variable in terms of the other variable(s). Once you have expressed one variable as a function of the other, you can substitute that expression into the other equation to create a single equation in one variable. This allows for easier solving of the system.
Write an expression using a variable?
An expression using a variable could be ( 3x + 5 ), where ( x ) represents a number. In this expression, ( 3x ) indicates three times the value of ( x ), and ( 5 ) is a constant added to it. This type of expression can be used in various mathematical contexts, such as solving equations or modeling real-world situations.
What is when you replace a variable with a value that results in a true sentence?
When you replace a variable with a value that results in a true sentence, it is referred to as "satisfying" the variable or "making the statement true." This process is often seen in mathematics and logic, where substituting specific values into an equation or expression yields a true statement. For example, if you have the equation (x + 2 = 5) and substitute (x = 3), the statement becomes true. This concept is fundamental in solving equations and understanding logical expressions.
Which situation may cause someone to use substitution in order to solve a system of equations?
Substitution is often used when one of the equations in a system is already solved for one variable, or can be easily manipulated to do so. For example, if you have the equations (y = 2x + 3) and (3x + 2y = 12), substituting the expression for (y) from the first equation into the second allows for straightforward solving. This method is particularly useful when dealing with linear equations, as it simplifies the process of finding the variable values.
When solving an equation you must do what?
When solving an equation, you must isolate the variable by performing inverse operations on both sides of the equation to maintain equality. It's important to apply the same operation to both sides to ensure the equation remains balanced. Additionally, simplify the equation step by step until you arrive at the solution for the variable. Always check your solution by substituting it back into the original equation to verify its correctness.
Solving for given variable?
What given?
What is the first step in solving a multistep equation having an expression in perentheses?
The first step in solving a multistep equation with an expression in parentheses is to apply the distributive property, if necessary, to eliminate the parentheses. This involves multiplying the term outside the parentheses by each term inside. After simplifying, you can then combine like terms and isolate the variable to solve the equation.
