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:

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

$4/4w = 10$

$1w = 10$

$w = 10$

Which is the solution to the equation 8.25+1/4w= 10.758.25+1/4w= 10.75?