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First, multiply by 3 on both sides:
Divide by 7:
So, k = 9
Divide by 7:
So, k = 9
Step-by-step explanation:
the answer is in the image above
Step 1. Solve both inequalities for 
:
Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines
and 
:
(1)
(2)
Replace (1) in (2):
Solve for
:
(3)
Replace (3) in (1):
We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.
Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines
Replace (1) in (2):
Solve for
Replace (3) in (1):
We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.