Add and subtract the rational expressions as indicated. Be sure to express your answer in simplest form
((9)/(7x)) + ((1)/(2y)) -1
I got an aswer of (16y)/(7x+2y+1)) but when I submit it shows me as wrong. Can anyone help, thanks
9/(7x) + 1/(2y) - 1
has a common denominator of 14xy
so ...
= (18y + 7x - 14xy)/(14xy)
(Did you really ADD the denominators???)
To add and subtract rational expressions, you need to find a common denominator for all the terms involved. In this case, the common denominator is 14xy.
First, let's rewrite the expression using the common denominator:
((9)/(7x)) + ((1)/(2y)) - 1
To get a denominator of 14xy, we need to multiply the first term's denominator by 2y and the second term's denominator by 7x:
((9 * 2y)/(7x * 2y)) + ((1 * 7x)/(2y * 7x)) - (1 * 14xy/14xy)
This simplifies to:
(18y)/(14xy) + (7x)/(14xy) - 14xy/14xy
Now, let's combine the numerators:
(18y + 7x - 14xy)/(14xy)
Now, we can simplify the expression:
The numerator (18y + 7x - 14xy) does not have any common factors, so we leave it as is.
The denominator (14xy) does have a common factor of 14, which we can cancel out:
(18y + 7x - 14xy)/(14xy) = (18y + 7x - 14xy)/(2xy)
So, the simplified form of the expression is:
(18y + 7x - 14xy)/(2xy)
Now, you can double-check your answer and see if it matches the simplified form of the expression.