Need on my work i'm marking you the brainiest if the answer is right! hurry need quick asap!

Remark

You have to start with the equality equations first and then go to the inequalities.

Step One

Discuss y  = 2x + 2. That boundary is a dotted line. That is because it is not included in the area defined by y < 2x + 2. You should also note that everything in this region is below that line. See the diagram on the left (below).

Step Two

Discuss x + y >= -3. This graph actually means y >=-x - 3 The line itself is the lower boundary of the inequality. It looks like the center graph.

Step Three

When you put the two graphs together, you get the diagram on the right. The mauve kind of color is the region you are interested in. (Mauve is a kind of red purple).

Answer

Lower Right

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3