Final answer:
To find the correct values for the system of equations, we substitute the given solution into each equation. The correct option is d) Y = -x - 10, 3x - 5y = -19.
Step-by-step explanation:
In order for the solution of the system of equations to be (-3, 5), we need to find the values that make this true. Starting with the first equation, y = _x - 10, we substitute -3 for x and 5 for y to get 5 = -3 - 10. Simplifying this, we have 5 = -13, which is not true. Therefore, option a) Y = 2x - 10, 3x - 2y = -19, is not the correct answer.
Next, let's try option b) Y = -x - 10, 3x + 5y = -19. Substituting -3 for x and 5 for y in the second equation, we get 3(-3) + 5(5) = -19. Simplifying, we have -9 + 25 = -19, which is true. Therefore, option b) is a possible solution.
We can continue checking all the options in the same way, but for brevity, let's skip to the correct answer. The correct option is d) Y = -x - 10, 3x - 5y = -19. When we substitute -3 for x and 5 for y in the second equation, we get 3(-3) - 5(5) = -19. Simplifying, we have -9 - 25 = -19, which is true. Therefore, option d) is the correct answer.