Which linear equation has the same solution set as 9d4+3−2d=−2(3+d)

Question

?(1 point)
Responses

14=74x−194+2x
14 equals Start Fraction 7 over 4 End Fraction x minus Start Fraction 19 over 4 End Fraction plus 2 x

4w−2(7−3w)=w3−6
4 w minus 2 left parenthesis 7 minus 3 w right parenthesis equals Start Fraction w over 3 End Fraction minus 6

35−15b=95
35 minus 15 b equals 95

3x5−10=−7

Answer 1

To find out which linear equation has the same solution set as $9d^4+3-2d=-2(3+d)$, we should first simplify the original equation.

Starting with the equation:

$$9d^4+3-2d=-2(3+d)$$

Distributing the right side:

$$9d^4+3-2d=-6-2d$$

Now, let's rearrange the equation:

$$9d^4+3-2d+2d+6=0$$

This simplifies to:

$$9d^4+9=0$$

To further simplify, we can write it as:

$$9d^4=-9$$

Dividing everything by 9:

$$d^4=-1$$

However, this does not directly correspond to a linear equation.

Given the original equation's solutions, we will check the linear equations provided in the options to identify which simplifies to something equivalent or follows the same solution structure (even if involving constants).

Let's check each given equation rather than seeking value solutions:

1. $14=\frac{7}{4}x-\frac{19}{4}+2x$
   This is a linear equation in $x$.

2. $4w-2(7-3w)=\frac{w}{3}-6$
   This is also a linear equation.

3. $35-15b=95$
   This reduces to a linear equation.

4. $3x-10=-7$
   This simplifies down to another linear equation.

Considering that only linear solutions should hold similar sets and that the original equation transforms dramatically, we will focus on the generic form of transforming linear equations.

To fully determine which linear equation actually resolves properly relative to the original adjustment reveals success through standard mechanics.

Given that the existing values clearly show variance, we may examine:

• The equation $35-15b=95$ rearranges as follows:

$$-15b=95-35⟹-15b=60⟹b=-4$$

It does not link back to $d$ ties here yet stands firm in clarity.

Thus, if $b$ symbolizes resultant stack behavior where origin patterns hold.

To conclude:

Among listed options, $35-15b=95$ provides equivalency in terms of behavioral root uniqueness but specifically isn't transforming equivalently.

However, for consistent same-solution linkage, we shall deem: $14=\frac{7}{4}x-\frac{19}{4}+2x$ is likely a relative mod aberration leading parallel ground.

Continue verification thoroughly for variations if any additional constraints or equivalency corrections weave under systematic solution alignment.

Thus, the answer struggles linking firm traces; additional experimentation on functional roles becomes pivotal!