Solve the system of equations: 2x + y = 7 and 3x − 2y = 3. Then find how much 7x is greater than 10.

Equation (1): $2x + y = 7$
Equation (2): $3x - 2y = 3$

We will use the elimination method. Multiply Equation (1) by 2 to make the coefficients of $y$ opposites.

Now, add Equation (3) and Equation (2):

Divide by 7 to find $x$:

Substitute the value of $x$ into Equation (1) to find $y$:

Subtract $\frac{34}{7}$ from both sides:

We found $x = \frac{17}{7}$.

To find how much $7x$ is greater than 10, we subtract 10 from $7x$.

The value of $7x$ is greater than 10 by 7.

The final answer is 7.