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Which ordered pairs in the form (x, y) are solutions to the equation
4x – 5y = 24?

Choose all answers that are correct.

A. (-9,-12)

B. (1,-4)

C. (4,8)

D. (6,0)

Sagot :

naǫ
Plug the values into the equation and check if it's true.

[tex](x,y)=(-9,-12) \\ 4 \times (-9) -5 \times (-12) \stackrel{?}{=} 24 \\ -36+60 \stackrel{?}{=} 24 \\ 24 \stackrel{?}{=} 24 \\ 24 = 24 \\ a \ solution \\ \\ (x,y)=(1,-4) \\ 4 \times 1 - 5 \times (-4) \stackrel{?}{=} 24 \\ 4+20 \stackrel{?}{=} 24 \\ 24 \stackrel{?}{=} 24 \\ 24=24 \\ a \ solution[/tex]

[tex](x,y)=(4,8) \\ 4 \times 4 - 5 \times 8 \stackrel{?}{=} 24 \\ 16-40 \stackrel{?}{=} 24 \\ -24 \stackrel{?}{=} 24 \\ -24 \not= 24 \\ not \ a \ solution \\ \\ (x,y)=(6,0) \\ 4 \times 6- 5 \times 0 \stackrel{?}{=} 24 \\ 24 -0 \stackrel{?}{=} 24 \\ 24 \stackrel{?}{=} 24 \\ 24=24 \\ a \ solution[/tex]

The answers are A, B and D.

Answer:

A(-9,-12)

B(1,-4)

D(6,0)

Step-by-step explanation:

i took the test

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