Answer:
The point (x, y) = (3, -4) represents the solution of the given system of equations.
Please check the attached graph.
Step-by-step explanation:
Given the system of equations
[tex]y\:=\:-\frac{3}{2}x\:-\:3[/tex]
[tex]y\:=\:-x\:-\:1[/tex]
Please check the attached graph of the given system of equations
From the graph:
- The red line represents the equation: [tex]y\:=\:-\frac{3}{2}x\:-\:3[/tex]
- The blue line represents the equation: [tex]y\:=\:-x\:-\:1[/tex]
Point of Intersection:
- We know that the point of intersection of two lines represents the solution of the system of equations.
It is clear from the attached graph that the two lines intersect at the point (-4, 3).
i.e. at x = -4, y = 3
Therefore, the point (x, y) = (3, -4) represents the solution of the given system of equations.
Please check the attached graph.
