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(x+2)/4 - (x-1)/5 = 15

 Mar 4, 2018
 #1
avatar+18078 
+1

Multily everything by 20   to get

 

5(x+4) - 4 (x-1) = 300    expand

5x + 20 - 4x + 4 = 300   combine like terms

x + 24 = 300                  subtract 24 from both sides

x = 276

 Mar 4, 2018
 #2
avatar+2340 
+2

I see a minor error in ElectricPavlov's solution. I think this is simply a copying error.

 

After multiplying by the LCM of the denominator on both sides, all existing fractions disappear.

 

5(x+2)-4(x-1)=300

5x+10-4x+4=300

x+14=300

x=286

 

I like to call this error a "flow-through" error. 

 Mar 4, 2018
 #3
avatar+18078 
+1

YOU are correct X !!!  Thanx for fixin' it   !  cheeky

ElectricPavlov  Mar 4, 2018
 #4
avatar+2340 
0

Don't worry! It happens to all of us! 

 

Here is an example where I fell victim to the "flow-through" error: https://web2.0calc.com/questions/monic-quartic#r1.

 

The question asks for a fourth-degree polynomial with given roots, and, of course, I misread some of the roots. 

TheXSquaredFactor  Mar 4, 2018
 #5
avatar+18078 
0

Wow!   And THAT was a LOT of work ! cheeky

ElectricPavlov  Mar 4, 2018

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