Yo sup??
We can verify this just by pluggin in the value (2,0) into the function
g(x)=3x+2
when x=2
g(x)=3*2+2=8≠0
Therefore (2,0) is not a solution of g(x)
Similarly
f(x)=|x-1|+1
=|2-1|+1
=2≠0
Therefore (2,0) is not the solution of f(x)
Since (2,0) doesn't satisy the 2 equations therefore its not a solution of the system of equations.
Other method would be to see whether the lines pass through (2,0)
Hope this helps.
