How do you simplify 5 / (y - 2)= y + 2 ?

2 Answers
Apr 27, 2018

y=+-3

Explanation:

By transposing the terms and using simple algebra, we get-

5=(y+2)(y-2)
Using a^2-b^2=(a+b)(a-b),
5= y^2-4
y^2=9
y=+-3

Apr 27, 2018

y = +-3

Explanation:

5/(y-2) = y+2

Multiply both sides by y-2:
5/cancel((y-2)) cancel(color(red)(*(y-2))) = (y+2)color(red)((y-2))

Simplify:
5 = y^2 - 4

Add 4 on both sides of the equation:

5 quadcolor(red)(+quad4) = y^2 - 4 quadcolor(red)(+quad4)

9 = y^2

Therefore, y = +-3

(+- refers to "plus or minus")

Hope this helps!