Question

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

4a – 5b = 24

Answer 1

To find a solution for the linear equation 4a – 5b = 24, we can assign a value to one variable and solve for the other. For instance, (0, -4.8) and (6, 0) are both solutions.

Step-by-step explanation:

The question is asking for a solution to the linear equation 4a – 5b = 24. To find an ordered pair (a, b) that satisfies this equation, we can pick a value for one variable and solve for the other. For example, if we decide to let a = 0, we would solve the equation for b, which would give us -5b = 24 and hence b = -24/5 or -4.8. The ordered pair would then be (0, -4.8). Alternatively, if we chose b = 0, we would find a = 24/4 or 6, resulting in the ordered pair (6, 0). Both of these are valid solutions to the equation.

Answer 2

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