Answer:
Ques 1:
Let us consider the system of equations,
and
It is known that 'The intersection points of the graphs of the system of equations are the solutions of the system of equations'.
So, after plotting the given graphs, we see that from the first graph,
The only intersection point is (1,1).
Thus, the solution of the system is x= 1 and y= 1.
Ques 2:
We have the functions, f(x)= 2x+1 and g(x)= 2x^2+1.
Plotting the graphs of both the functions is shown by graph 2, we see that,
The intersection points are (0,1) and (1,3)
Hence, the function have equal values only at x= 0 and x= 1 but not at x= 3.
