solve the system of equations. (1 point)
2x - 5y = 3
x - 3y = 1
a. (4,1)
b. ( 5,2)
c. ( 7,2)
d. (9,3)

A. (4,1)

Step-by-step explanation:

2x -5y = 3

x -3y = 1

Change the equation to isolate a variable so you can substitute it in the other one.

x = 1+3y so

2(1+3y) -5y = 3

2 + 6y -5y =3

2 + y = 3

y=1

Back to the easy equation we isolated

x = 1+3(1)

x= 4

(4,1) is a point where x=4 and 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

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column