Final answer:
The solution of the equation 3x + 5 = 2x - 7 is x = -12, and it represents the x-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x - 7.
Step-by-step explanation:
The solution of the equation 3x + 5 = 2x - 7 can be found by isolating the variable x. This is done by subtracting 2x from both sides of the equation to get 3x - 2x + 5 = -7, which simplifies to x + 5 = -7. Next, subtracting 5 from both sides gives x = -7 - 5, which results in x = -12. This solution represents the x-coordinate of the point where the two lines y = 3x + 5 and y = 2x - 7 intersect. Therefore, the correct choice is "the x-coordinates of the intersection point of the lines y = 3x + 5 and y = 2x - 7". To find the y-coordinate for this intersection, we substitute x = -12 into either of the original equations, y = 3(-12) + 5 or y = 2(-12) - 7, which both give y = -31.