The solution of the system of linear equations is [tex]\fbox{\begin\\\ \bf (0,2)\\\end{minispace}}[/tex]. Thus, the [tex]\fbox{\begin\\\ \bf option (3)\\\end{minispace}}[/tex] is correct.
Further explanation:
There are two lines which represent the curve of the function [tex]f(x)[/tex] and [tex]g(x)[/tex] as shown in the attachment below.
The intersection point of two lines is the solution of the given system of equations.
From the given figure, it can be observed that the two lines intersect at the point [tex](0,2)[/tex].
Therefore, the point [tex](0,2)[/tex] is the solution of the given system of equations.
Option (1)
In option (1) it is given that the solution point is [tex](-3,0)[/tex].
From the given graph it is observed that the solution point is [tex](0,2)[/tex].
This implies that the option (1) is incorrect.
Option (2)
In option (2) it is given that the solution point is [tex](-3,3)[/tex].
From the given graph it is observed that the solution point is [tex](0,2)[/tex].
This implies that the option (2) is incorrect.
Option (3)
In option (3) it is given that the solution point is [tex](0,2)[/tex].
From the given graph it is observed that the solution point is [tex](0,2)[/tex].
This implies that the option (3) is correct.
Option (4)
In option (4) it is given that the solution point is [tex](3,1)[/tex].
From the given graph it is observed that the solution point is [tex](0,2)[/tex].
This implies that the option (4) is incorrect.
Learn more:
1. A problem on collinear points https://brainly.com/question/5191341
2. A problem on coplanar and non collinear points https://brainly.com/question/4165000.
3. A problem on domain and range of the function https://brainly.com/question/3412497.
Answer details
Grade: Middle school
Subject: Mathematics
Chapter: System of linear equations
Keywords: Linear equations, intersection point, function, sets, real numbers, ordinates, abscissa, interval, open interval, closed intervals, semi-closed intervals, semi-open intervals, graph.
