Question

here is a system of equations.\

$$\begin{cases}y = -x - 4\\\\y = x + 6\\end{cases}$$

\
graph the system. then write its solution. note that you can also answer
o solution\ or \infinitely many\ solutions.\
solution:

Explanation:

Step1: Set equations equal

Since $y=-x-4$ and $y=x+6$, set them equal:
$-x-4 = x+6$

Step2: Solve for $x$

Isolate $x$ terms:
$-x - x = 6 + 4$
$-2x = 10$
$x = \frac{10}{-2} = -5$

Step3: Find $y$ value

Substitute $x=-5$ into $y=x+6$:
$y = -5 + 6 = 1$

Step4: Verify with other equation

Check $y=-x-4$:
$y = -(-5) - 4 = 5 - 4 = 1$ (matches)

Answer:

The solution is $(-5, 1)$

*(For graphing:

1. For $y=-x-4$: plot y-intercept $(0, -4)$, use slope $-1$ to plot another point like $(1, -5)$, draw the line.
2. For $y=x+6$: plot y-intercept $(0, 6)$, use slope $1$ to plot another point like $(1, 7)$, draw the line.
3. The lines intersect at $(-5, 1)$)*