What is the solution of the system? x+y=6x−y=2 enter your answer in the box, as an ordered pair.

[5, 1]

Step-by-step explanation:

The given system of equations is expressed as

x+y=6 - - - - - - - - -1

x−y=2 - ,- - - - - - - - 2

The first step would be to eliminate y by adding equation 1 to equation 2. It becomes

x + x = 6 + 2

2x = 10

Dividing the left hand side and the right hand side of the equation by 2, it becomes

2x/2 = 10/2

x = 5

Substituting x = 5 into equation 1, it becomes.

5 + y = 6

Subtracting 5 from the left hand side and the right hand side of the equation, it becomes

5 - 5 + y = 6 - 5

y = 1

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.