Final answer:
The product of x and y is 8.
Therefore, the correct answer is: option d) 8
Step-by-step explanation:
We can solve the system of equations x+y=6 and 3x-y=2 using the method of substitution.
First, we solve one equation for one variable, in this case, we can solve the first equation for y in terms of x:
y = 6 - x
Next, we substitute this expression for y into the second equation:
3x - (6 - x) = 2
Simplifying the equation, we have:
4x - 6 = 2
4x = 8
x = 2
Substituting the value of x back into the equation y = 6 - x:
y = 6 - 2 = 4
Therefore, the solution to the system of equations is x = 2 and y = 4.
The product of x and y is 2 * 4 = 8.