which ordered pairs in the form (x,y) ar solutions to the equation 7x-5y=28

Let's solve for option A first.

 

x = -6

y = -14

 

(7 * -6) - (5 * -14) = 28

 

(-42) - (-70) = 28

 

(-42) + 70 = 28

 

70 - 42 = 28

 

A is true.

 

Now for B.

 

x = -1

y = -7

 

(7 * -1) - (5 * -7) = 28

 

(-7) - (-35) = 28

 

35 - 7 = 28

 

B is true.

 

Then C.

 

x = 4

y = 10

 

(7 * 4) - (5 * 10) = 28

28      - 50          = 28

-22                     = 28

-22                     ≠ 28                        

 

So C is false.

 

Last of all, D.

 

x = 7

y = 9

 

(7 * 7) - (5 * 9) = 28

49       -  45     = 28

4                     = 28

4                     ≠ 28 

 

And D is false, too.

 

So the only solutions for (x,y) is A and B.