Which of the following equations have the same solution? Give reasons for your answer that do not depend on solving the equations.
A -(7-4x)=9

B 12=-4(-6x-3)

C 5x+34=-2(1-7x)

D 14=-(x-8)

E -8=-(x+4)

F x+5=-5x+5

Respuesta :

Answer:

none

Step-by-step explanation:

A. -7+4x=9  4x=9+7 x=4

B.  x= -1

C.  x = -32/19

D.  x = -6

E. x =  -12

F. x= 0

Answer:

A,C and E have solution x=4

B and F have solution x=0

Step-by-step explanation:

We have to find the equations which have same solution.

A.[tex]-(7-4x)=9[/tex]

[tex]-7+4x=9[/tex]

[tex]4x=9+7=16[/tex]

[tex]x=\frac{16}{4}=4[/tex]

B.[tex]12=-4(-6x-3)[/tex]

[tex]12=24x+12[/tex]

[tex]24x=12-12=0[/tex]

[tex]x=\frac{0}{24}=0[/tex]

C.[tex]5x+34=-2(1-7x)[/tex]

[tex]5x+34=-2+14x[/tex]

[tex]34+2=14x-5x[/tex]

[tex]36=9x[/tex]

[tex]x=\frac{36}{9}=4[/tex]

D.[tex]14=-(x-8)[/tex]

[tex]14=-x+8[/tex]

[tex]x=8-14=-6[/tex]

E.[tex]-8=-(x+4)[/tex]

[tex]-8=-x-4[/tex]

[tex]x=-4+8=4[/tex]

F.[tex]x+5=-5x+5[/tex]

[tex]x+5x=5-5=0[/tex]

[tex]6x=0[/tex]

[tex]x=\frac{0}{6}=0[/tex]

A,C and E have same solution  because when we substitute x=4 then it satisfied the given equations.It does not depend on solving the equations.

B and F have same solution because when we substitute x=0 then it satisfied the given equations.