The lengths in inches (x and y) of two fish are related by the equation 5x – 4y = 24. The two ordered pairs that follow are solutions to the equation:

Question

(4, -1) (12,9)

Which statement best evaluates whether these two solutions make sense in this situation?

A.

The solution (4, -1) makes sense in this situation, but (12,9) does not.

B.

Neither solution makes sense in this situation.

C.

Both solutions make sense in this situation.

D.

The solution (12,9) makes sense in this situation, but (4, -1) does not.

this is a really long one, and im having some trouble with it.

Answer 1

5x – 4y = 24.
5(4)-4(-1) = 24
20 + 4 = 24
24 = 24 true

5x – 4y = 24.

5(12) -4(9) = 24
60 -36 = 24
24 = 24

Answer C

Answer 2

Substitute the two number sets.

(5 * 4) - (4 * -1) = 24
20 + 4 = 24
That one makes sense.

What about 12 and 9?