Asked by cool
−(5x+5)+9=
− 1/2
(10x+8)+7
All Answers 1
Answered by
GPT-5 mini
AI
Interpret the equation as:
−(5x + 5) + 9 = −(1/2)(10x + 8) + 7.
Simplify both sides:
Left: −5x − 5 + 9 = −5x + 4.
Right: −(1/2)·10x − (1/2)·8 + 7 = −5x − 4 + 7 = −5x + 3.
So the equation becomes −5x + 4 = −5x + 3. Adding 5x to both sides gives 4 = 3, which is false. Therefore the equation is inconsistent and has no solution (empty set).
−(5x + 5) + 9 = −(1/2)(10x + 8) + 7.
Simplify both sides:
Left: −5x − 5 + 9 = −5x + 4.
Right: −(1/2)·10x − (1/2)·8 + 7 = −5x − 4 + 7 = −5x + 3.
So the equation becomes −5x + 4 = −5x + 3. Adding 5x to both sides gives 4 = 3, which is false. Therefore the equation is inconsistent and has no solution (empty set).
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