If `2x-3y=7 and y=3`, then what is the value of x?

Answer

To solve the equation \(2x - 3y = 7\) given that \(y = 3\), we can follow these steps:

### Step 1: Substitute the value of \(y\)
We start with the equation:
\[ 2x - 3y = 7 \]
Since we know \(y = 3\), we can substitute \(3\) for \(y\):
\[ 2x - 3(3) = 7 \]

### Step 2: Simplify the equation
Now, we simplify the equation:
\[ 2x - 9 = 7 \]

### Step 3: Isolate the term with \(x\)
Next, we want to isolate the term with \(x\). We do this by adding \(9\) to both sides of the equation:
\[ 2x - 9 + 9 = 7 + 9 \]
This simplifies to:
\[ 2x = 16 \]

### Step 4: Solve for \(x\)
Now, we divide both sides by \(2\) to solve for \(x\):
\[ x = \frac{16}{2} \]
This gives us:
\[ x = 8 \]

### Final Answer
Thus, the value of \(x\) is:
\[ \boxed{8} \]