Question #73340

1 Answer
Sep 15, 2017

x is (5y-15/2)-1

Explanation:

y-3=2/5(x+1)
First, we switch sides.
2/5(x+1)=y-3 (This makes it easier)
Then we multiply both sides by 5.
color(blue)5color(blue)*2/cancel(5)(x+1)=5y-3color(blue)*color(blue)5

So now we can simplify it to
2(x+1)=5y-15.

Then, we divide both sides by 2.
(2(x+1))/2=(5y)/2-15/2
Which is also x+1=(5y-15)/2
Subtract 1 from both sides.
x+1color(blue)-color(blue)1=(5y-15)/2color(blue)-color(blue)1
Simplify.
x=(5y-15)/2-1

Hope this helped.