What is the point of intersection when the system of equations below is graphed on the coordinate plane?

This system of equations has infinite points of intersection

Step-by-step explanation:

* To know the point of intersection of the system of equations,

  you will solve the graphically or algebraically

- Graphically by drawing two lines on the coordinate plane

- Algebraically by substitution method or elimination method

* Lets use the substitution method

∵ y = 4 - x

∵ 2y = 8 - 2x

- Substitute y in the second equation by its value in the

 first equation

∴ 2(4 - x) = 8 - 2x ⇒ open the bracket

∴ 8 - 2x = 8 - 2x

* The two sides equal each other, that means we can use any

  vales of x, and on the graph they will be the same line for

  the two equations

∴ This system of equations has infinite points of intersection

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.