Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20. If x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced, the system of equations that represents this situation is x + y = 110 and y = 2x + 20.?

Step-by-step explanation:

Let x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced.

The total no of cabinets are 100

Equation will be : x+y = 110

We can write it as : y = 110-x ...(1)

Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20.

Equation will be : y = 2x + 20 ...(2)

Put the value of y from equation (1) into equation (2).

110-x = 2x + 20

Combining like terms,

110-20 = 2x+x

90 = 3x

x = 30

Put the value of x in equation (1) :

y = 110-30

y = 80

Hence, there are 30 cabinets of type 1 and 80 cabinets of type 2.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.