How do you solve #0.2n+3=8.6#?

2 Answers
Mar 2, 2018

#n=28#

Explanation:

#0.2n+3=8.6#
subtract 3
#0.2n=8.6-3#
simplify #8.6-3#
#0.2n=5.6#
divide by 0.2
#n=28#

Mar 2, 2018

Or if decimals give you a problem get rid of them.

#n=28#

Explanation:

Given: #0.2n+3=8.6#

Multiply everything on both sides of the equals by 10

#2n+30=86#

Subtract 30 from both sides

#2n=56#

Divide both sides by 2

#n=28#
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#color(blue)("Check")#

#color(green)(2color(red)(n)+3=8.6 color(white)("d") ->color(white)("d")(0.2color(red)(xx28)) + 3->?->8.6#

But #0.2xx28# is the same as #2xx2.8=5.6#

#color(green)(color(white)("ddddddddddd")->color(white)("d")5.6+3=8.6)color(white)("d")# as required