What linear expression would you add to -4y+2 to have a dum of y?

1 Answer
Feb 28, 2018

"The answer is:" \qquad \qquad \qquad \ L \ = \ 5 y - 2.

Explanation:

"Let the linear expression we need to add be:" \qquad L.

"So, from the question, we want" \ L \ "to achieve the following:"

\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad L + ( -4 y + 2 ) \ = \ y.

\qquad :. \quad \ L + ( -4 y + 2 ) - ( -4 y + 2 ) \ = \ y - ( -4 y + 2 )

\quad :. \ \ L + color{red}cancel{ ( -4 y + 2 ) } - color{red}cancel{ ( -4 y + 2 ) } \ = \ y + 4 y - 2

\qquad :. \qquad \qquad \qquad \qquad \qquad \qquad \ L \ = \ 5 y - 2.

"This is our answer."