# Trey can type 19 words per minute faster than Conner. Their combined typing speed is 97 words per minute. How fast does Conner type?

##### 1 Answer

Sep 24, 2016

#### Explanation:

We can use this equation to solve it:

#x + (19 +x) = 97#

#x# is Conner's speed, which is unknown

#19+x# is Trey's speed, which is#19# words per minute faster than Conner

#97# is their total combined speed

Now we simplify the equation

#2x + 19 = 97" "# (Combine like terms)

#2x +19 - 19 = 97 -19" "# (isolate#x# by subtracting#19# from both sides)

#2x = 78 #

#x/2 = 78/2" "# (divide both sides by#2# to isolate#x# )

#x=39#

So Trey's speed is

That isn't the final answer, though. To find Conner's speed use

#39+19 = 58#