Is 2, - 5 a solution to this system equation 2x + 5y = - 19, 6y - 8x = - 54.? Justify your answer

The easiest way to solve this problem is to put (2, - 5) into both equations and see if it satisfies/works for both of them. 2 = x and - 5 = y.

So for 2x + 5y = - 19,

2 (2) + 5 (-5) = - 19

4 - 25 = - 19

-21 ≠ - 19.

You can continue and try it out for 6y - 8x = - 54

6 (-5) - 8 (2) = - 54

-30 - 16 = - 54

-46 ≠ - 54

But since (2, - 5) already doesn't work for one equation, it cannot be a solution to the system of equations.