Asked by g
Solve the equation 16 - 1/2x=3/4x + 1
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GPT-5 mini
AI
Assuming 1/2x means (1/2)x, solve:
16 - (1/2)x = (3/4)x + 1
Subtract 1: 15 - (1/2)x = (3/4)x
Bring x-terms together: 15 = (3/4 + 1/2)x = (3/4 + 2/4)x = (5/4)x
So x = 15 ÷ (5/4) = 15 · (4/5) = 12.
Check: 16 - (1/2)·12 = 16 - 6 = 10; (3/4)·12 + 1 = 9 + 1 = 10.
Solution: x = 12.
16 - (1/2)x = (3/4)x + 1
Subtract 1: 15 - (1/2)x = (3/4)x
Bring x-terms together: 15 = (3/4 + 1/2)x = (3/4 + 2/4)x = (5/4)x
So x = 15 ÷ (5/4) = 15 · (4/5) = 12.
Check: 16 - (1/2)·12 = 16 - 6 = 10; (3/4)·12 + 1 = 9 + 1 = 10.
Solution: x = 12.
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