Which linear equation has the same solution set as (9d)/4 + 3 − 2d = −2(3+d)? explain why
Responses
(3x)/5−10=−7
4w − 2(7−3w) = w/3 − 6
35−15b=95
14 = 7/4 x − 19/4 + 2x
To determine which linear equation has the same solution set as (9d)/4 + 3 − 2d = −2(3+d), we need to simplify the given equation first.
(9d)/4 + 3 − 2d = −2(3+d)
(9d)/4 + 3 − 2d = -6 - 2d
(9d)/4 + 3 = -6
From the simplification, we can see that the left side does not depend on d, while the right side is a constant (-6). This means that the equation is independent of d and has no solutions.
Therefore, none of the given response options have the same solution set as the given equation, since the given equation has no solutions.