You need to carpet a new office room. the new room is 12 feet by 15 feet 6 inches. a supplier delivered 20 square yards of carpet tiles. do you have enough tiles to do the job? how much more or less do you need?

1 square yards more tiles are needed to complete the job.

Step-by-step explanation:

We have been given that the new new room is 12 feet by 15 feet 6 inches.  A supplier delivered 20 square yards of carpet tiles.

First of all, we will convert our given dimension into feet.

1 feet = 12 inches

Now, we will find the carpet area by multiplying the given dimensions.

Now, we will convert our area into square yards by multiplying our answer by 0.11111.

Therefore, we don't have enough tiles to do the job and we need 1 square yards of more tiles to do the job.

(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