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if frac x 2 4 frac 7 2 then x
Question:
If \( \frac{x}{2} + 4 = \frac{7}{2} \), then \( x \) = ?
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When solving equations, always perform the same operation on both sides to maintain equality.
BHU PET - 2019
BHU PET
Updated On:
Mar 25, 2025
-2
-1
1
2
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The Correct Option is
B
Solution and Explanation
Given equation: \[ \frac{x}{2} + 4 = \frac{7}{2} \] Step 1: Subtract 4 from both sides: \[ \frac{x}{2} = \frac{7}{2} - 4 \] Convert 4 into a fraction: \[ \frac{x}{2} = \frac{7}{2} - \frac{8}{2} = \frac{-1}{2} \] Step 2: Multiply both sides by 2: \[ x = -1 \]
Thus, the correct answer is -1.
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