Follow the process of completing the square to solve x = 4x +3. x -
Which of the following equations is used in this process?
(2x - 42.19
(2x4,2= 12
(2x 42-28

9514 1404 393

  the correct choice is marked

Step-by-step explanation:

The process for completing the square would generally put x-terms on one side of the equal sign and the constant term on the other side:

  x^2 +4x = 3

Then the square of half the x-coefficient would be added to both sides. Here, that is (4/2)^2 = 4.

  x^2 +4x +4 = 7

In order to make this match one of the answer choices, we must multiply both sides by 4.

  4x^2 +16x +16 = 28

Now, we can factor the left side to see a match to the last answer choice.

  (2x +4)^2 = 28

Additional comment

As you can see, we had to deviate from the "complete the square" process to arrive at an equation that matches an answer choice. It cannot be said that the chosen equation "is used in the process." It might be useful to discuss this question with your teacher.

Substitute x = y + 1 into 2x - 3y = -1

2 - y = -1

Solve for y in 2 - y = -1

y = 3

Substitute y = 3 into x = y + 1

x = 4

Therefore,

x = 4

y = 3