5 - 2x + 6y = - 38

? 3x - 4y = 32

• (-4, - 5)

• (-5, 4)

• (1, - 6)

(4, - 5)

Option D (4, - 5)

Step-by-step explanation:

This question can be solved by various methods. I will be using the hit and trial method. I will plug in all the options in the both the given equations and see if they balance simultaneously.

Checking Option 1 by plugging (-4, - 5) in the first equation:

-2 (-4) + 6 (-5) = - 38 implies 8 - 30 = - 38 (not true).

Checking Option 2 by plugging (-5, 4) in the first equation:

-2 (-5) + 6 (4) = - 38 implies 10 + 24 = - 38 (not true).

Checking Option 3 by plugging (1, - 6) in the second equation:

3 (1) - 4 (-6) = 32 implies 3 + 24 = 32 (not true).

Since all the options except Option 4 have been ruled out, therefore, (4,-5) is the correct answer!