How do you solve for m in # 11 - m = 51 - 6m# ?

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Answer 1 · 2016-09-20T08:44:04

#m=8#

add 6m to both sides #=> 11+5m=51#

subtract 11 from both sides #=> 5m=40#

divide both sides by 5 #=>m=8#

Answer 2 · 2016-09-20T08:53:31

#m=8#

Given:#" "11-m=51-6m#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Add #color(blue)(6m)# to both sides

#" "color(brown)(11-mcolor(blue)(+6m)" "=" "51-6mcolor(blue)(+6m))#

#" "11+5m" "=" "51+0#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Subtract #color(blue)(11)# from both sides

#" "color(brown)(11color(blue)(-11)+5m" "=" "51color(blue)(-11))#

#" "0+5m" "=" "40#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Divide both sides by #color(blue)(5)#

#" "color(brown)((5m)/(color(blue)(5))" "=" "40/(color(blue)(5))#

Write as: #" "5/5xxm" "=" "40/5#

But #5/5=1#

#" "1xx m" "=" "8#

#" "color(green)(bar(ul(|color(white)(2/2)m" "=" "8color(white)(2/2)|)))#