Solve the System

[nycmathguy]

David Cohen questions just for fun.
Enjoy.

 

[MathLover1]

y=sqrt(3)(1-3x)/3............1)

sqrt(3)y+3x -1=0..........2)
___________________________

sqrt(3)y+3x -1=0..........2), solve for y

sqrt(3)y=1-3x

y=(1-3x)/sqrt(3)............rationalize

y=sqrt(3)(1-3x)/3................same line as in 1)

=>
sqrt(3)(1-3x)/3=sqrt(3)(1-3x)/3
1-3x=1-3x
1-1=3x-3x
0=0
=>
The solutions to the system of equations are: y=sqrt(3)(1-3x)/3

 

[nycmathguy]

y=sqrt(3)(1-3x)/3............1)

sqrt(3)y+3x -1=0..........2)
___________________________

sqrt(3)y+3x -1=0..........2), solve for y

sqrt(3)y=1-3x

y=(1-3x)/sqrt(3)............rationalize

y=sqrt(3)(1-3x)/3................same line as in 1)

=>
sqrt(3)(1-3x)/3=sqrt(3)(1-3x)/3
1-3x=1-3x
1-1=3x-3x
0=0
=>
The solutions to the system of equations are: y=sqrt(3)(1-3x)/3

You said "solutions" (plural) but only posted the value of y. What is the value of x?

What do you think about this chart to help set up algebra distance word problems?

Distance Word ProblemChart