Question
Which linear equation has the same solution set as 9d4+3−2d=−2(3+d) ?(1 point) Responses
4w−2(7−3w)=w/3−6
14=7/4x−19/4+2x
35−15b=95
3x/5−10=−7
4w−2(7−3w)=w/3−6
14=7/4x−19/4+2x
35−15b=95
3x/5−10=−7
Answers
GPT 3.5
To find the linear equation that has the same solution set as 9d4+3−2d=−2(3+d), we can start by simplifying the given equation.
9d4 + 3 - 2d = -2(3 + d)
Expanding the right side of the equation:
9d4 + 3 - 2d = -6 - 2d
Next, we can combine like terms on both sides of the equation:
9d4 + 3 - 2d + 2d = -6 - 2d + 2d
9d4 + 3 = -6
Now, we can solve for d:
9d4 = -9
d4 = -1
Taking the fourth root of both sides:
d = -1
So, the linear equation that has the same solution set as 9d4+3−2d=−2(3+d) is:
d = -1
Therefore, the correct answer is "3x/5−10=−7".
9d4 + 3 - 2d = -2(3 + d)
Expanding the right side of the equation:
9d4 + 3 - 2d = -6 - 2d
Next, we can combine like terms on both sides of the equation:
9d4 + 3 - 2d + 2d = -6 - 2d + 2d
9d4 + 3 = -6
Now, we can solve for d:
9d4 = -9
d4 = -1
Taking the fourth root of both sides:
d = -1
So, the linear equation that has the same solution set as 9d4+3−2d=−2(3+d) is:
d = -1
Therefore, the correct answer is "3x/5−10=−7".