how will i solve if there is 2 variables?
(Subtraction of RationalAlgebraic Expressions)
5 - xy 14 + 8xy
------- - -------- = ?
9z 9z
To solve the given expression, you need to follow these steps:
Step 1: Find a common denominator for the two fractions (expressions) in the equation. In this case, the common denominator is 9z, as it is present in both fractions.
Step 2: Rewrite the fractions with the common denominator:
(5 - xy)/(9z) - (14 + 8xy)/(9z)
Step 3: Simplify each fraction individually:
First fraction: (5 - xy)/(9z)
Second fraction: (14 + 8xy)/(9z)
Step 4: Combine the fractions with the common denominator:
(5 - xy - (14 + 8xy))/(9z)
Step 5: Simplify the expression within the parentheses:
5 - xy - 14 - 8xy
Combine like terms:
-xy - 8xy + 5 - 14
Simplify further:
-9xy - 9
Thus, the simplified expression is -9xy - 9.