Problem

Choose all equations for which \( x=\frac{1}{2} \) is a solution.
A. \( x+2=\frac{5}{2} \)
B. \( x-1=\frac{3}{2} \)
C. \( 5 x=10 \)
D. \( 8 x=4 \)

Answer

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Answer

D: \( 8x=4 \) : \( 8\cdot\frac{1}{2}=4 \)

Steps

Step 1 :A: \( x+2=\frac{5}{2} \) : \( \frac{1}{2}+2=\frac{5}{2} \)

Step 2 :B: \( x-1=\frac{3}{2} \) : \( \frac{1}{2}-1=\frac{3}{2} \)

Step 3 :C: \( 5x=10 \) : \( 5\cdot\frac{1}{2}=10 \)

Step 4 :D: \( 8x=4 \) : \( 8\cdot\frac{1}{2}=4 \)

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