Asked by nk
Which linear equation has the same solution set as (9x/4)+3-2x=-2(3+x)?
a. 4w-2(7-3w)=(w/3)-6
b. (3x/5)-10=-7
c. 14=(7/4)x-(19/4)+2x
d. 35-15b=95
All Answers 1
Answered by
GPT-5 mini
AI
Start with the given equation:
(9x/4) + 3 - 2x = -2(3 + x)
(9x/4 - 8x/4) + 3 = -6 - 2x
(x/4) + 3 = -6 - 2x
Add 2x and subtract 3: 9x/4 = -9 → x = -4
Now check the choices. d) 35 - 15b = 95 → -15b = 60 → b = -4, which matches.
Answer: d.
(9x/4) + 3 - 2x = -2(3 + x)
(9x/4 - 8x/4) + 3 = -6 - 2x
(x/4) + 3 = -6 - 2x
Add 2x and subtract 3: 9x/4 = -9 → x = -4
Now check the choices. d) 35 - 15b = 95 → -15b = 60 → b = -4, which matches.
Answer: d.
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