3. A chicken and a rooster, on the same straight line, are heading toward the chicken coop which is halfway between them. The chicken is at A(-2,4) and the rooster is at B(4,-4).
a) What are the coordinates of the chicken coop?
b) How far does each bird travel?
52
• A4
31
2
1
54
-3
2
3
4
5
-2 -1
-1
-2
-3
-4
B
6

Here's link to the

cutt.ly/tz3yDpb

(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

50x5=$250

step-by-step explanation: