Which is the solution to the equation #3.5(2h+4.5)=57.75#?

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Answer 1 · 2016-12-20T12:01:51

#h = 6#

First, expand the terms within parenthesis:

#(3.5 xx 2h) + (3.5 xx 4.5) = 57.75#

#7h + 15.75 = 57.75#

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

#7h + 15.75 - color(red)(15.75) = 57.75 - color(red)(15.75)#

#7h + 0 = 42#

#7h = 42#

Now, solve for #h# while keeping the equation balanced:

#(7h)/color(red)(7) = 42/color(red)(7)#

#(color(red)(cancel(color(black)(7)))h)/color(red)(cancel(color(black)(7))) = 6#

#h = 6#