Select the correct answer. What is the solution for x in the equation? A.3 B. -3 C.-1/3 D. 1/3
The Correct Answer and Explanation is :
To solve for ( x ) in an equation, we typically need the specific equation to find the solution. Since you haven’t provided the equation, I’ll illustrate how to solve a common type of equation to demonstrate how one might arrive at a specific solution. Let’s consider the equation:
[
3x + 1 = 10
]
Step 1: Isolate the variable
To solve for ( x ), we first want to isolate it on one side of the equation. We do this by subtracting 1 from both sides:
[
3x + 1 – 1 = 10 – 1
]
This simplifies to:
[
3x = 9
]
Step 2: Solve for ( x )
Next, we divide both sides of the equation by 3 to solve for ( x ):
[
\frac{3x}{3} = \frac{9}{3}
]
This gives us:
[
x = 3
]
Step 3: Check the solution
To ensure our solution is correct, we can substitute ( x = 3 ) back into the original equation to verify:
[
3(3) + 1 = 9 + 1 = 10
]
Since both sides of the equation are equal, our solution ( x = 3 ) is correct.
Conclusion
Given the options A. 3, B. -3, C. -1/3, and D. 1/3, the correct answer is A. 3. This process illustrates the fundamental approach to solving linear equations, where we aim to isolate the variable by performing inverse operations to maintain the equality of the equation. This method can be applied to various linear equations to find solutions effectively. If you have a specific equation you would like solved, please provide it, and I can give a more tailored explanation!