How do you solve the following system?: 1/2x=y-1 , 1/3x=y-5 12x=y1,13x=y5

1 Answer
Jul 25, 2016

x=24x=24
y=13y=13

Explanation:

1/2x=y-112x=y1 , 1/3x=y-513x=y5
or
x=2(y-1)x=2(y1) , x=3(y-5)x=3(y5)
or
x=2y-2x=2y2 , x=3y-15x=3y15
or
2y-2=3y-152y2=3y15
or
3y-2y=15-23y2y=152
or
y=13y=13---------Ans 11

Since x=2y-2x=2y2
or
x=2(13)-2x=2(13)2
or
x=26-2x=262
or
x=24x=24--------Ans 22