(3x-19)
what is the value of x
The Correct Answer and Explanation is:
To solve for the value of ( x ) in the expression ( 3x – 19 ), it’s important to note that this is an algebraic expression and does not form an equation by itself. In other words, there is not enough information to determine a specific value for ( x ) unless an equation or relationship is provided.
For instance, if you have an equation such as:
[
3x – 19 = 0
]
then we can solve for ( x ). Let’s walk through the steps of solving this equation:
Step 1: Start with the equation
[
3x – 19 = 0
]
Step 2: Add 19 to both sides
To isolate the term with ( x ), we first need to eliminate the -19 on the left side. We can do this by adding 19 to both sides of the equation:
[
3x – 19 + 19 = 0 + 19
]
This simplifies to:
[
3x = 19
]
Step 3: Divide both sides by 3
Next, to solve for ( x ), we divide both sides of the equation by 3:
[
\frac{3x}{3} = \frac{19}{3}
]
This simplifies to:
[
x = \frac{19}{3}
]
Step 4: Interpret the result
The value of ( x ) is ( \frac{19}{3} ), which is approximately ( 6.33 ) (rounded to two decimal places).
Explanation of the Process
In solving for ( x ), we used basic algebraic operations: addition to both sides of the equation and division to isolate the variable. The reason for performing these steps is to maintain the equality of the equation. Algebra relies on maintaining balance between both sides of the equation, ensuring that whatever operation is performed on one side is also done on the other side to preserve the equation’s integrity.
Without an equation (like ( 3x – 19 = 0 )), it’s impossible to determine a unique value for ( x ), as the expression ( 3x – 19 ) simply represents a relationship that depends on the value of ( x ).