Such a value is called a "solution" or "root" of an equation.
Such a value is called a "solution" or "root" of an equation.
A value of the variable that makes the equation statement true is called a solution. For example, in the equation ( x + 2 = 5 ), the value ( x = 3 ) is a solution because substituting it into the equation yields a true statement. There can be multiple solutions or none, depending on the equation. To find a solution, you can isolate the variable and solve for its value.
The value of the variable that makes an equation true is known as the "solution" to the equation. For example, if you have the equation (x + 3 = 7), the solution is (x = 4), since substituting 4 into the equation yields a true statement. In general, finding the value of the variable involves manipulating the equation to isolate the variable on one side.
It's the value that when substituted in for the variable, makes the equation true. Ex: x + 1 = 3 The value 2, when substituted for the variable x, makes the equation true.
Replacing a variable with a value that results in a true sentence involves substituting the variable in a statement with a specific value that makes the statement logically correct. For example, in the equation ( x + 2 = 5 ), replacing ( x ) with 3 results in a true sentence, as ( 3 + 2 = 5 ) holds true. This process is often used in mathematics and logic to verify the validity of statements or equations.
Solution
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You substitute the value of the variable into the equation and simplify. If the rsult is a true statement then that value of the variable really does satisfy the equation.
It is about finding a value of the variable (or variables) that make the equation a true statement.
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.
Substitute that value in the equation, and then check to see if the resulting statement is TRUE.