- The figure below shows the graph of the system of equations
Thier point of intersection gives the solution of the system of equations.
Solved Example on System of Equations
Which of the graphs represents the system of equations - 2x + 3y > 6 and x + y ≤ - 3?
Choices:
A. Graph 1
B. Graph 2
C. Graph 3
D. Graph 4
Correct Answer: B
Solution:
Step 1: Graph 
on a coordinate plane.
Step 2: Graph 
on the same coordinate plane.
Step 3: The solutions are the coordinates of all the points in the region that is shaded in both colors.
Step 4: Check whether the solution (-4, 0) satisfies the two inequalities or not.
Step 5: 
[Replace x with -4 and y with 0.]
Step 6: 
[True.]
Step 7: 
[Replace x with -4 and y with 0.]
Step 8: 
[True.]
Step 9: Since the graph in step 2 matches with the graph 2 of choice B, Graph 2 represents the system of equations.
Related Terms for System of Equations
- equations
- variables
- coordinate plane
Additional Links for System of Equations
