Which system of inequalities is represented by the graph? y ≤ 3x y > –2x – 1 y > 3x y ≤ –2x – 1 y < –3x y ≥ 2x – 1 y > –3x y ≤ 2x – 1

Step 1

Find the equation of the inequality A (red line)  

The equation of the red line is

------> see the x-intercept of the graph

The solution of the inequality A is the shaded area above the red dotted line

so

the equation of the inequality A is

Step 2

Find the equation of the inequality B (blue line)

The equation of the blue line is

------> see the graph, the slope is positive

The solution of the inequality B is the shaded area below the blue solid line

so

the equation of the inequality B is

therefore

the answer is

The system of inequalities is equal to

details

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18