Final answer:
The system of equations 8x=2y and 3y+2x=2 was solved using substitution to find x = 1/7 and y = 4/7. The correct ordered pair (x, y) is therefore (1/7, 4/7), which does not match any of the given multiple-choice options.
Step-by-step explanation:
To solve the system of equations 8x=2y and 3y+2x=2 using substitution, first solve one of the equations for one variable and then substitute that expression into the other equation. We can start by rearranging the first equation to solve for y, which gives us y = 4x. Now, we substitute 4x for y in the second equation, which becomes 3(4x) + 2x = 2, simplifying to 14x = 2. Dividing both sides of the equation by 14, we find that x = 2/14 or x = 1/7. Then, we substitute x back into the expression for y to find y = 4(1/7), which simplifies to y = 4/7.
Therefore, the solution to the system of equations, written as an ordered pair, is (1/7, 4/7), which is not an option provided in the multiple choices a) through d). It appears there might have been a mistake in either the system of equations provided or the question's multiple-choice options.