Which is the solution to the equation #8.25+1/4w= 10.75#?

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Answer 1 · 2016-12-20T12:23:30

#w = 10#

First, isolate the #w# term on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

#8.25 - color(red)(8.25) + 1/4w = 10.75 - color(red)(8.25)#

0 + 1/4w = 2.5#

#1/4w = 2.5#

Next, solve for #w# while keeping the equation balanced:

#color(red)(4) xx 1/4w = color(red)(4) xx 2.5#

#4/4w = 10#

#1w = 10#

#w = 10#