How do you solve #(x)/(2x+7)=(x-5)/(x-1)#?
Note : when you multiply something with a fraction, you multiply to the numerator.
First, let's simplify the LHS by multiplying
So we have
Then let's simplify the RHS by multiplying
What we just did here is called cross multiplying.
Now, we have a quadratic equation.
We can factorise this to
Set each factor equal to
These are our two answers