workout 3 over y subtract 2 over y-2
Do you wish to solve for y?
(3/y) - (2/y-2) = 0
Multiply by y(y-2)
3(y-2) - (2y) = 0
3y-6-2y=0
y-6=0
y=6
Check my work.
check:
(3/6)-(2/6-2) = (1/2) - (2/4) = (1/2)-(1/2) = 0
all it have is to simplify
To simplify the expression (3/y) - (2/(y-2)), you need to find a common denominator for both fractions.
The LCD (Least Common Denominator) for y and (y-2) would be y * (y-2).
Now, let's rewrite both fractions with the common denominator:
3/y becomes (3 * (y-2)) / (y * (y-2))
2/(y-2) remains the same
Now, we can combine the fractions by subtracting the numerators:
(3 * (y-2) - 2) / (y * (y-2))
Expanding the numerator, we get:
(3y - 6 - 2) / (y * (y-2))
Simplifying further:
(3y - 8) / (y * (y-2))
And that's the simplified form of the given expression: (3y - 8) / (y * (y-2)).