How do you solve #\frac { 2} { y + 6} = - 5#?

1 Answer
Jim G.
Feb 20, 2017

#y=-32/5#

Explanation:

Multiply both sides of the equation by the denominator of the fraction y + 6 thus eliminating the fraction.

#cancel(y+6)xx2/cancel(y+6)=-5(y+6)#

#rArr2=-5(y+6)#

distribute the bracket.

#rArr2=-5y-30#

add 30 to both sides.

#2+30=-5ycancel(-30)cancel(+30)#

#rArr32=-5y#

To solve for y, divide both sides by - 5

#32/(-5)=(cancel(-5) y)/cancel(-5)#

#rArry=-32/5#

#color(blue)"As a check"#

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

#2/(-32/5+6)=2/(-32/5+30/5)=2/(-2/5)#

#=cancel(2)^1/1xx-5/cancel(2)^1=-5#

#rArry=-32/5" is the solution"#

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