Question

3over y =y over 6y-15

Answer 1

Cross mulitiply

Answer 2

15/16=Y

Answer 3

\[\frac{3}{y}=\frac{y}{6y-15}\]
\[3(6y-15)=y^2\]
\[18y-45=y^2\]
\[y^2-18y+48=0\]

Answer 4

i meant 45 not 48!

Answer 5

\[y^2-18y+45=0\]

Answer 6

\[(y-3)(y-15)=0\]
\[y=3\] or
\[y=15\]

Answer 7

and check to make sure that neither of these solutions will make the denominator 0. i.e. you must check your answers