Use the substitution method to solve the system of equations. Choose the correct ordered pair.16x – 2y = 742x – 2y = 4A.(5, 0)B.(6, 0)C.(6, 3)D.(5, 3)

Step 1: We have two equations here, 16x – 2y = 74 and 2x – 2y = 4.

Step 2: We can simplify the second equation by dividing every term by 2, which gives us x - y = 2.

Step 3: Now, we can solve this equation for x, which gives us x = y + 2.

Step 4: We substitute x = y + 2 into the first equation, which gives us 16(y + 2) - 2y = 74.

Step 5: Simplifying this equation gives us 16y + 32 - 2y = 74, which simplifies further to 14y + 32 = 74.

Step 6: Subtracting 32 from both sides gives us 14y = 42, and dividing both sides by 14 gives us y = 3.

Step 7: Substituting y = 3 back into the equation x = y + 2 gives us x = 3 + 2 = 5.

So, the solution to the system of equations is (5, 3), which corresponds to answer choice D.