That's the "solution" to the equation described by the sentence.
A Solution
That's the "solution" to the equation described by the sentence.
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.
True.
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.
A Solution
a "solution"
That's the "solution" to the equation described by the sentence.
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.
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.
To replace a variable with a value that results in a true sentence, first identify the condition or statement in which the variable is used. Substitute the variable with different potential values and evaluate the resulting sentence for truthfulness. Continue testing values until you find one that satisfies the condition, making the entire statement true. This process often involves logical reasoning or basic algebra if the statement is mathematical in nature.
Solution.
Oh, what a happy little question you have there! When we replace a variable with a value in an equation or sentence and it makes the sentence true, we're finding a solution that works perfectly. It's like adding a touch of color to a blank canvas, bringing harmony and balance to the mathematical world. Just remember, there are infinite possibilities waiting to be discovered!
Because it is neither true or false until the variable is replaced with a specific value making the sentence true or false.
A replacement for a variable that results in a true sentence is often referred to as a "satisfying assignment." For example, in the logical statement "x > 5," replacing the variable x with 6 makes the sentence true, as 6 is indeed greater than 5. This principle is foundational in logic and mathematics, where finding such replacements can validate propositions or equations.
equal
It is the solution or root of the equation.