Question

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

Answer 1

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 2

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.$-(7-4x)=9$

$-7+4x=9$

$4x=9+7=16$

$x=\frac{16}{4}=4$

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

$12=24x+12$

$24x=12-12=0$

$x=\frac{0}{24}=0$

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

$5x+34=-2+14x$

$34+2=14x-5x$

$36=9x$

$x=\frac{36}{9}=4$

D.$14=-(x-8)$

$14=-x+8$

$x=8-14=-6$

E.$-8=-(x+4)$

$-8=-x-4$

$x=-4+8=4$

F.$x+5=-5x+5$

$x+5x=5-5=0$

$6x=0$

$x=\frac{0}{6}=0$

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.