Question

Help with some rational equation.
y-2/y=y/y-1.
Will rewrite with the equation thing.

Answer 1

\[\frac{ y-2 }{ y}=\frac{ y }{ y-1 }\]

Answer 2

Start by cross multiplying-
\[y^{2} = (y-2)(y-1) = y^{2} -3y +2\]
Subtract y^2 from both sides:
\[0=2-3y\] Add 3y to both sides:
\[3y=2\] so
\[y=\frac{ 2 }{ 3 }\]

Answer 3

cross multiplying y-2by y-1 and y by y correct? Thanks!

Answer 4

how come we got rid of \[y^{2} \] like that? could you explain?

Answer 5

We had y^2 on both sides, so we can subtract it from both sides.

Answer 6

Thanks @vinnv226

Answer 7

No problem, glad I could help.