Directions for questions : Select the correct answer from the given options.
If `(a+b)/( c+d) = (x)/( y)`, then `y=`_______ .

Options

A. `y = x (a+b) (c+d)`
B. `y= ( x)/((a+b) (c+d))`
C. `y= (x (c+d) )/( a+b)`
D. `y= ( x (a+b) )/( c+d)`

Answer

To solve the equation \((a+b)/(c+d) = x/y\) for \(y\), we can follow these steps:

1. **Start with the given equation**:
\[ \frac{a+b}{c+d} = \frac{x}{y} \]

2. **Cross-multiply to eliminate the fractions**:
\[ (a+b) \cdot y = (c+d) \cdot x \]

3. **Rearrange the equation to isolate \(y\)**:
\[ y = \frac{(c+d) \cdot x}{a+b} \]

Thus, the value of \(y\) is:
\[ y = \frac{x(c+d)}{a+b} \]