Question

If UW=6x-35,find UW?
Line segement consists of points U,V,W
U to V is 19
V to W: 4x-20

Answer 1

see attachment

UV+VW=UW


so
19+4x-20=6x-35
add like terms
4x-1=6x-35
minus 4x both sides
-1=2x-35
add 35 both sides
34=2x
divide both sides by 2
17=x

UW=6x-35=6(17)-35=102-35=67

UW=67 units

Answer 2

The Value for UW is derived to be  

$UW=67$

From the question we are told that

$UW=6x-35$

With the line segment showing

$UV=19\\\\VW=4x-20$

Generally From the line segment information given UW is mathematical given as

$UW=UV+VW$

Therefore

$UW=19+4x-20\\\\UW=4x-1$

Since

$UW=6x-35$

Therefore

$6x-35=4x-1\\\\x=17$

Therefore

Equating x in UW we have

$UW=6*(17)-35$

$UW=67$

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