Question

Determine whether the point (2,0) is a solution to the system of equations.

Answer 1

From the given graph of the system of equations

$\begin{gathered} f(x)=|x-1|+1 \\ g(x)=3x+2 \end{gathered}$

It is the point (2,0) is not on any of the graphs of f(x) and g(x). Also,

$\begin{gathered} f(2)=|2-1|+1 \\ =2 \\ \ne0 \\ g(2)=8 \\ \ne0 \end{gathered}$

Since (2,0) doesn't satisfy given equations, therefore, (2,0) is not a solution of the given system.

It can be noted that the solution of the system is (0,2) as it lies on the intersection of f(x) and g(x)