Oh hotel has a number of meeting rooms, m, available for events. each meeting room has 325 chairs . write and equation to represent see, the total numbers of chairs, in all of the meeting rooms at the hotel. if m =7,use your equation to find the total number of chairs in all th meeting room at the hotel .

The equation to represent the total numbers of chairs in all of the meeting rooms at the hotel is given by :-

If m =7, then the total numbers of chairs in all of the meeting rooms at the hotel =2275.

Step-by-step explanation:

Given: The total number of chairs in one meeting room = 325

Let the number of meeting rooms is represented by m.

Then the equation to represent the total numbers of chairs (y) in all of the meeting rooms at the hotel is given by :-

If m =7, then the total numbers of chairs in all of the meeting rooms at the hotel is given by :-

Hence, the total numbers of chairs in all of the meeting rooms at the hotel is 2275.

(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