`{{:(3x -3y =0),(y=2x+5):}`
Given the systyem of equations above, what is the sum of x and y ?

Options

A. `-10`
B. `-5`
C. 0
D. 5

Explanation

To solve the given system of equations and find the sum of \( x \) and \( y \), we can follow these steps:

### Step 1: Write down the equations
We have the following two equations:
1. \( 3x - 3y = 0 \)
2. \( y = 2x + 5 \)

### Step 2: Simplify the first equation
From the first equation, we can simplify it:
\[ 3x - 3y = 0 \implies 3x = 3y \implies x = y \]

### Step 3: Substitute \( x \) for \( y \) in the second equation
Now that we know \( x = y \), we can substitute \( y \) with \( x \) in the second equation:
\[ x = 2x + 5 \]

### Step 4: Rearrange the equation
Rearranging the equation gives us:
\[ x - 2x = 5 \implies -x = 5 \implies x = -5 \]

### Step 5: Find \( y \)
Since we have found \( x \), we can now find \( y \):
\[ y = x = -5 \]

### Step 6: Calculate the sum of \( x \) and \( y \)
Now, we can find the sum of \( x \) and \( y \):
\[ x + y = -5 + (-5) = -10 \]

### Final Answer
The sum of \( x \) and \( y \) is \( -10 \).

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