Question

5x - 2y = -17\\-x - y = 9\\(\square,\square)\submit

Explanation:

Step1: Solve the system of equations

We have the system of equations:
\[

$$\begin{cases} 5x - 2y = -17 \\ -x - y = 9 \end{cases}$$

\]
First, we can solve the second equation for \(y\):
From \(-x - y = 9\), we get \(y = -x - 9\)

Step2: Substitute \(y\) into the first equation

Substitute \(y = -x - 9\) into \(5x - 2y = -17\):
\[

$$\begin{align*} 5x - 2(-x - 9)&=-17\\ 5x + 2x + 18&=-17\\ 7x&=-17 - 18\\ 7x&=-35\\ x&=-5 \end{align*}$$

\]

Step3: Find \(y\)

Substitute \(x = -5\) into \(y = -x - 9\):
\(y = -(-5) - 9 = 5 - 9 = -4\)

Answer:

\((-5, -4)\)