How do you solve #abs[4y] = 2#?

1 Answer
Apr 14, 2018

Answer:

#y = 1/2# and #-1/2#

Explanation:

#|4y| = 2#

To solve absolute value equations, we have to set the quantity inside the absolute value to both the positive and negative quantity of the other side of the equation.

So we can rewrite this as:
#4y = 2# and #4y = -2#

And now we solve:
#(4y)/color(red)4 = 2/color(red)4#

#y = 1/2#


#(4y)/color(red)4 = (-2)/color(red)4#

#y = -1/2#

Therefore, the answers are #y = 1/2# and #-1/2#

Hope this helps!