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." #