If (2x + 3,y-1) =(3,5) , then find x and y.

Explanation

To solve the equation \((2x + 3, y - 1) = (3, 5)\), we will compare the corresponding components from both sides of the equation.

### Step-by-step Solution:

1. **Set up the equations**:
From the equation \((2x + 3, y - 1) = (3, 5)\), we can derive two separate equations:
\[ 2x + 3 = 3 \quad \text{(1)} \]
\[ y - 1 = 5 \quad \text{(2)} \]

2. **Solve the first equation for \(x\)**:
From equation (1):
\[ 2x + 3 = 3 \]
Subtract 3 from both sides:
\[ 2x = 3 - 3 \]
Simplifying gives:
\[ 2x = 0 \]
Now, divide both sides by 2:
\[ x = 0 \]

3. **Solve the second equation for \(y\)**:
From equation (2):
\[ y - 1 = 5 \]
Add 1 to both sides:
\[ y = 5 + 1 \]
Simplifying gives:
\[ y = 6 \]

4. **Final values**:
Thus, the values of \(x\) and \(y\) are:
\[ x = 0 \quad \text{and} \quad y = 6 \]

### Summary:
The solution gives us \(x = 0\) and \(y = 6\).

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