How do you solve #10= \frac { 2} { 7} n + 4#?

1 Answer
Jim G.
Oct 12, 2017

#n=21#

Explanation:

#"eliminate the fraction by multiplying ALL terms by 7"#

#(7xx10)=cancel(7)xx(2n)/cancel(7)+(7xx4)#

#rArr70=2n+28larrcolor(blue)" no fractions"#

#"subtract 28 from both sides"#

#70-28=2ncancel(28)cancel(-28)#

#rArr2n=42larrcolor(blue)" reversing equation"#

#"divide both sides by "2#

#(cancel(2) n)/cancel(2)=42/2#

#rArrn=21#

#color(blue)"As a check"#

Substitute this value into the equation and if both sides are equal then it is the solution.

#"right side "=2/7xx21+4=6+4=10=" left side"#

#rArrn=21" is the solution"#

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