we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient
----------> the value of A is 
Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares


therefore
the answer is
the value of A is 
Answer:
D
Step-by-step explanation:
Basically find the eqatuions of the lines that produce the shaded reigon
so find the lines first
we notice taht they must be inequalities
the upward line is dotted so it must have > or <
ok, hum the slope seems to be -3
the y intercept is 1 so the euaiton is y_-3x+1
the blank is the inequality
ok, test a point
(0,0) is in it
0_-3(0)+1
0_1
0<1
so it is y<-3x+1
secondn line
solid line so ≤ or ≥
slope of 2
y intercept of -1
y_2x-1
(0,0) is a possible solution
test it
0_2(0)-1
0_-1
0≥-1
so the equations are
y<-3x+1 and y≥2x-1
a. the system is y<-3x+1 and y≥2x-1
b. a solution is (0,0) because it is in the shades reigon which is the intersection of the 2 inequalities