Final answer:
The question asks about the sum and product of x-values for a system of equations including y = 4x - 2. However, the question only presents one linear equation without a counterpart, thus it's impossible to calculate a + b or a * b without more information.
Step-by-step explanation:
The question from the student asks about the values of x in a system involving a linear equation. Given that y = 4x - 2, we are looking for the sum (a + b) and product (a * b) of the x-values, assuming there are two solutions, possibly from intersecting with another linear equation (not provided in the question).
However, as the question stands, we only have one linear equation, which is y = 4x - 2, with no other equation to form a system.
This equation represents a line with a slope of 4 and a y-intercept of -2. The x-values, in this case, would not exist as two distinct solutions without a second equation to compare it with, so the values of a + b and a * b cannot be determined from the given information.
If we had a quadratic equation of the form at² + bt + c = 0, we could use the quadratic formula to find the solutions, but that is not applicable in this case since this system only has one linear equation provided without additional context.