Question

c. \

$$\begin{cases} y = 6x + 14 \\\\ y = -x + 21 \\end{cases}$$

Explanation:

Step1: Set equations equal

Since $y = 6x + 14$ and $y = -x + 21$, substitute:
$6x + 14 = -x + 21$

Step2: Solve for x

Combine like terms:
$6x + x = 21 - 14$
$7x = 7$
$x = \frac{7}{7} = 1$

Step3: Solve for y

Substitute $x=1$ into $y = -x + 21$:
$y = -1 + 21 = 20$

Answer:

$x=1$, $y=20$