When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 54s to walk from your gate to the baggage claim. when it is working and you stand on the moving sidewalk the entire way, without walking, it takes 83s to travel the same distance. how long will it take you to travel from the gate to baggage claim if you walk while riding of the moving sidewalk?

Your travel time will be 32.71 secs.

Step-by-step explanation:

Let the total distance be x feet.

Speed while walking = feet per second

Speed on the sidewalk = feet per second

Therefore, total speed while walking on moving sidewalk =

=

=

=

Hence, your travel time will be 32.71 secs.

(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