Respuesta :
The answer is C
12w - 27 = -34 +14w
-2w = -7
w = 7/2
-47 - 10w = -9w -40 - 3w
-47 - 10w = -12w - 40
-7 = -2w
w = 7/2
Answer:
Option C is the correct answer.
Step-by-step explanation:
The equation is given as :
[tex]12w-27=-34+14w[/tex]
Solving this by pairing the like terms together,
[tex]12w-14w=-34+27[/tex]
[tex]-2w=-7[/tex]
This gives [tex]w=\frac{7}{2}[/tex]
Now, we will solve all the equations to check which is same as the above.
A.
[tex]-2w+21=-8w+36[/tex]
=>[tex]-2w+8w=36-21[/tex]
=>[tex]6w=15[/tex]
=>[tex]w=\frac{15}{6}=\frac{3}{2}[/tex]
This is the wrong option.
B.
[tex]\frac{-5w}{6}+2=\frac{13}{3}-\frac{w}{6}[/tex]
=>[tex]\frac{-5w+12}{6}=\frac{26-w}{6}[/tex]
=>[tex]-5w+12=26-w[/tex]
=>[tex]-5w+w=26-12[/tex]
=>[tex]-4w=14[/tex]
=>[tex]w=\frac{-14}{4} =\frac{-7}{2}[/tex]
This is the wrong option.
C.
[tex]-47-10w=-9w-40-3w[/tex]
=>[tex]-10w+9w+3w=-40+47[/tex]
=>[tex]2w=7[/tex]
=>[tex]w=\frac{7}{2}[/tex]
This is the right option.
D.
[tex]\frac{9w}{7}=\frac{13w}{14}+2[/tex]
=>[tex]\frac{9w}{7}=\frac{13w+28}{14}[/tex]
=>[tex]126w=91w+196[/tex]
=>[tex]35w=196[/tex]
=>[tex]w=\frac{196}{35}[/tex]
Dividing by 7, we get
=>[tex]w=\frac{28}{5}[/tex]
This is the wrong option.
Therefore, option C is the correct answer.
