Solve for the unknown in the simple linear equation: ? − 4799 = 1714

Difficulty: Easy

Correct Answer: 6513

Explanation:


Introduction / Context:
Here we have a one-step linear equation with a single unknown. The problem reinforces adding the same number to both sides to isolate the unknown. This is a fundamental algebraic operation used throughout quantitative reasoning.


Given Data / Assumptions:

  • Equation: ? − 4799 = 1714
  • All values are integers.
  • We need the exact value of the question mark.


Concept / Approach:
To undo subtraction of 4799 from the unknown, add 4799 to both sides. This isolates the unknown cleanly. Keep signs correct to avoid a result that is too small or negative by mistake.


Step-by-Step Solution:
1) Start with ? − 4799 = 1714.2) Add 4799 to both sides: ? = 1714 + 4799.3) Compute the sum: 1714 + 4799 = 6513.4) Therefore, the unknown is 6513.


Verification / Alternative check:
Substitute back: 6513 − 4799 = 1714, confirming the equality holds exactly.


Why Other Options Are Wrong:
7403: Too large by 890 relative to the correct sum.3085: Much too small; this would give a negative difference after subtraction.None of these: Not applicable because 6513 satisfies the equation perfectly.


Common Pitfalls:
Accidentally subtracting 4799 from 1714 or flipping signs. Always apply the inverse operation to both sides consistently.


Final Answer:
6513

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