How do you solve #11f - 10= 2f - 1#?

1 Answer
Jim G.
Mar 31, 2018

#f=1#

Explanation:

#"collect terms in f on the left side and numeric values "#
#"on the right side"#

#"subtract 2f from both sides"#

#11f-2f-10=cancel(2f)cancel(-2f)-1#

#rArr9f-10=-1#

#"add 10 to both sides"#

#9fcancel(-10)cancel(+10)=-1+10#

#rArr9f=9#

#"divide both sides by 9"#

#(cancel(9) f)/cancel(9)=9/9#

#rArrf=1#

#color(blue)"As a check"#

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

#"left "=(11xx1)-10=11-10=1#

#"right "=(2xx1)-1=2-1=1#

#rArrf=1" is the solution"#

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