How do you solve #(2n-1 )/3 = 10#?

1 Answer
May 26, 2018

Answer:

#n=31/2#

Explanation:

#"multiply through by 3"#

#cancel(3)xx(2n-1)/cancel(3)=3xx10#

#2n-1=30#

#"add 1 to both sides"#

#2n=30+1=31#

#"divide both sides by 2"#

#(cancel(2) n)/cancel(2)=31/2rArrn=31/2#

#color(blue)"As a check"#

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

#(2xx31/2-1)/3=(31-1)/3=30/3=10#

#n=31/2" is the solution"#