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4 April, 23:00

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

4a - 5b = 24

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  1. 4 April, 23:25
    0
    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
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