A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 150 nails and each large box has 400 nails. The contractor bought 2 more small boxes than large boxes, which altogether had 1950 nails. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

The number of small and large boxes purchased are:

2 small boxes.

6 large boxes.

Step-by-step explanation:

To solve the unknowns, two equations must be established with the information provided:

150X + 400Y = 2700 (the price of the boxes and the final number of nails, where X is the small boxes and Y the large boxes)

Y = 3X (Large boxes are triple the small ones)

Then equation 2 is replaced in equation one and variable X is cleared:

150X + 400 (3X) = 2700

150X + 1200X = 2700

1350X = 2700

X = 2700/1350

X = 2

Finally, the value of X is replaced in equation 2 to find the number of large boxes:

Y = 3X

Y = 3 (2)

Y = 6

PLS MARK AS BRAINLIEST :)

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4