If (x + 7, 3) = (5, 6 + y), then the values of x and y respectively are

Options

A. 2, 3
B. `-3, -3`
C. `-2, -3`
D. 0, 3

Answer

To solve the equation given in the question, we need to equate the corresponding coordinates from both sides of the equation.

The equation we have is:

\[ (x + 7, 3) = (5, 6 + y) \]

This means that the x-coordinates and the y-coordinates must be equal to each other.

### Step 1: Equate the x-coordinates
From the equation, we can equate the x-coordinates:

\[ x + 7 = 5 \]

### Step 2: Solve for x
To find the value of \(x\), we will isolate \(x\) on one side of the equation:

\[ x = 5 - 7 \]
\[ x = -2 \]

### Step 3: Equate the y-coordinates
Next, we equate the y-coordinates:

\[ 3 = 6 + y \]

### Step 4: Solve for y
To find the value of \(y\), we will isolate \(y\) on one side of the equation:

\[ y = 3 - 6 \]
\[ y = -3 \]

### Final Answer
Thus, the values of \(x\) and \(y\) respectively are:

\[ x = -2 \quad \text{and} \quad y = -3 \]

So, the final answer is \((-2, -3)\).

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