Evaluate and simplify the expression when $$ x=2 $$ and $$ y=1 $$. $$ \frac{2 x-y}{x+y}=[?] $$

Question

UpStudy AI · Accepted Answer

To evaluate and simplify the expression $$\frac{2x - y}{x + y}$$ when $$x = 2$$ and $$y = 1$$, follow these steps:

1. **Substitute the given values into the expression:**

$$
   \frac{2(2) - 1}{2 + 1}
   $$

2. **Perform the calculations in the numerator and the denominator:**

- **Numerator:** $$2 \times 2 = 4$$, then $$4 - 1 = 3$$
   - **Denominator:** $$2 + 1 = 3$$

3. **Rewrite the expression with the calculated values:**

$$
   \frac{3}{3}
   $$

4. **Simplify the fraction:**

$$
   \frac{3}{3} = 1
   $$

**Final Answer:** $$1$$
When $$ x = 2 $$ and $$ y = 1 $$, the expression $$\frac{2x - y}{x + y}$$ simplifies to $$1$$.

Evaluate and simplify the expression when \( x=2 \) and \( y=1 \). \( \frac{2 x-y}{x+y}=[?] \)