#1**+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

ElectricPavlov
Mar 4, 2018

#2**+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.

TheXSquaredFactor
Mar 4, 2018

#4**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