How do you solve #14.78+ 15.6h = 13.6h + 1.38#?

1 Answer
Jul 15, 2017

See a solution process below:

Explanation:

Step 1) Subtract #color(red)(14.78)# and #color(blue)(13.6h)# from each side of the equation to isolate the #h# term while keeping the equation balanced:

#14.78 + 15.6h - color(red)(14.78) - color(blue)(13.6h) = 13.6h + 1.38 - color(red)(14.78) - color(blue)(13.6h)#

#14.78 - color(red)(14.78) + 15.6h - color(blue)(13.6h) = 13.6h - color(blue)(13.6h) + 1.38 - color(red)(14.78)#

#0 + (15.6 - color(blue)(13.6))h = 0 - 13.4#

#2h = -13.4#

Now, divide each side of the equation by #color(red)(2)# to solve for #h# while keeping the equation balanced:

#(2h)/color(red)(2) = -13.4/color(red)(2)#

#(color(red)(cancel(color(black)(2)))h)/cancel(color(red)(2)) = -6.7#

#h = -6.7#