(3) $$ \begin{array}{l}5 x+y=2 \ x+y=10\end{array} $$

Question

UpStudy AI · Accepted Answer

To solve the system of equations:

$$
\begin{cases}
5x + y = 2 \quad \text{(1)} \
x + y = 10 \quad \text{(2)}
\end{cases}
$$

**Step 1: Subtract Equation (2) from Equation (1)**

$$
(5x + y) - (x + y) = 2 - 10
$$

Simplifying:

$$
4x = -8
$$

**Step 2: Solve for $$ x $$**

$$
x = \frac{-8}{4} = -2
$$

**Step 3: Substitute $$ x = -2 $$ into Equation (2) to find $$ y $$**

$$
-2 + y = 10
$$

$$
y = 10 + 2 = 12
$$

**Solution:**

$$
x = -2 \quad \text{and} \quad y = 12
$$
$$ x = -2 $$ and $$ y = 12 $$.

(3)