# How do you solve #4/v + 1/5 = 1# and find any extraneous solutions?

##### 1 Answer

Jul 10, 2017

#### Explanation:

#"subtract " 1/5" from both sides"#

#4/vcancel(+1/5)cancel(-1/5)=1-1/5#

#rArr4/v=4/5#

#"since the fractions are equal and have the same numerator"#

#rArrv=5#

#color(blue)"As a check"#

#"left side "=4/5+1/5=5/5=1=" right side"#

#rArrv=5" is the solution"#