Which linear equation has the same solution set as 9d4+3−2d=−2(3+d) ?
35−15b=95 35 minus 15 b equals 95 3x5−10=−7 Start Fraction 3 x over 5 End Fraction minus 10 equals negative 7 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 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
The linear equation that has the same solution set as 9d4+3−2d=−2(3+d) is 35−15b=95.
To find the linear equation that has the same solution set as 9d4+3−2d=−2(3+d), we need to simplify the equation and rearrange it in the form of y = mx + b.
Step 1: Simplify the equation
9d4 + 3 - 2d = -2(3 + d)
9d^2 + 3 - 2d = -6 - 2d
Step 2: Combine like terms on both sides of the equation
9d^2 - 2d - 2d = -6 - 3
9d^2 - 4d = -9
Step 3: Rearrange the equation in the form of y = mx + b
9d^2 - 4d + 9 = 0
Therefore, the equation 9d^2 - 4d + 9 = 0 has the same solution set as 9d4+3−2d=−2(3+d).
To find the linear equation that has the same solution set as the given equation, we need to simplify the given equation first.
The given equation is: 9d4 + 3 - 2d = -2(3 + d)
Let's simplify it step by step:
1. Distribute the -2 on the right-hand side:
9d4 + 3 - 2d = -6 - 2d
2. Combine like terms:
9d4 + 3 - 2d + 2d = -6 - 2d + 2d
This simplifies to:
9d4 + 3 = -6
3. Move 3 to the right-hand side:
9d4 = -6 - 3
This simplifies to:
9d4 = -9
4. Divide both sides by 9:
(9d4)/9 = -9/9
This simplifies to:
d4 = -1
Since the variable d is raised to the power of 4, the equation is not linear. Therefore, there is no linear equation that has the same solution set as the given equation.