A system of equations is shown below:

2x = 5y + 4

3x - 2y = - 16

What is the solution to this system of equations?

(-8, - 4)

(8, 4)

(-4, - 8)

(4, 8)

(-8, - 4) is the solution

Step-by-step explanation:

Determine whether or not (-8, - 4) is a solution to this system. It is a solution if we can substitute - 8 for x and - 4 for y in both equations and find that both equations are true:

2 (-8) = 5 (-4) + 4 TRUE

3 (-8) - 2 (-4) = - 16 TRUE

So (-8, - 4) is a solution to the given system.

Check out the second possible solution in the same way:

2 (8) = 5 (4) + 4 FALSE

Check out the third possible sol'n in the same way:

2 (-4) = 5 (4) + 4 FALSE

Check out the fourth in the same way:

2 (4) = 5 (8) + 4 FALSE

So we conclude that (-8, - 4) is the sole solution to the given system.