Which ordered pair in the form (a, b) is a solution of this equation?

4a - 5b = 24

Normally you use x and y because it is usually (x, y), and not (y, x) so assume a=x and y=b

an easy way is to make one side equal to x then subsitue so

4x-5y=24

add 5y to both sides

4x=24+5y

divide both sides by 4

x=6+5/4y

subsitute and solve

A 6,0 where 6=x and 0=y

6=6 + (5/4) (0)

6=6+0

true

A works

B where - 2=x and - 5=y

-2=-6 + (5/4) (-5)

-2=-6-25/4

this is obviously false so B doesn't work

C where x=0 and y=6

0=6 + (5/4) (6)

0=6+30/4

0=6+15/2

this is obviously false so C doesn't work

D where x=-5 and y=-2

-5=6 + (5/4) (-2)

-5=6 + (-10/4)

-5=6-5/2

this is obviously false so D is wrong

if the format is (a, b) or if a=x and b=y then the answer is A,

if the format is (b, a) or if b=x and a=y then the answer is C