Problem 3 of 7
Verify that replacing one equation in 3x + y = 11, x - y = 1 with the sum of both equations preserves the solution (3,2).
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
substitute a solution into original and transformed systems.
Hidden until you reveal it.
Replacement must be the sum of the two original equations.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Verify the claimed solution in the original system.
2. Verify it also satisfies the transformed equation and unchanged equation.
3. Conclude the replacement preserves the solution for this system.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Checking only the replacement equation.