How do you solve #11/10=r/11#?

2 Answers
May 24, 2018

Answer:

#r=121/10#

Explanation:

Multiplying by #11# we get
#121/10=r#

May 24, 2018

Answer:

Divide both sides by #r#'s coefficient and you have your answer:
#r=121/10=12.1#

Explanation:

Making this easy, we want to know what #r# is. Currently, we know the value of #r/11#, so it would stand to make sense that we need to divide both sides by #r#'s coefficient #(1/11)#, which is the same as multiplying by its inverse, 11:

#11/10xxcolor(red)(11)=r/11xxcolor(red)(11)#

#(11xxcolor(red)(11))/10=(color(red)(cancel(11))r)/cancel(11)#

#color(green)(r=121/10=12.1)#