HeyItsBry14 HeyItsBry14
  • 25-11-2017
  • Mathematics
contestada

What value of m makes the equation 5/2(4m-8)- 2(6m -7)= -10 true?
A: -7
B: -6
C: 2
D: 7
(5/2 is supposed to be a fraction)

Respuesta :

WojtekR
WojtekR WojtekR
  • 25-11-2017
[tex]\dfrac{5}{2}(4m-8)- 2(6m -7)= -10\\\\\\\dfrac{5\cdot4}{2}m-\dfrac{5\cdot8}{2}- 2\cdot6m -2\cdot(-7)= -10\\\\\\\dfrac{20}{2}m-\dfrac{40}{2}-12m+14=-10\\\\\\10m-20-12m+14=-10\\\\-2m-6=-10\quad|\cdot(-1)\\\\2m+6=10\\\\2m=10-6\\\\2m=4\quad|:2\\\\\boxed{m=2}[/tex]

Answer C.
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