Question

1. \

$$\begin{cases} 3x - 2y = -16 \\\\ x + y = -7 \\end{cases}$$

Explanation:

Step1: Solve the second equation for y

From \( x + y = -7 \), we get \( y = -x - 7 \).

Step2: Substitute y into the first equation

Substitute \( y = -x - 7 \) into \( 3x - 2y = -16 \):
\( 3x - 2(-x - 7) = -16 \)
Simplify: \( 3x + 2x + 14 = -16 \)
\( 5x + 14 = -16 \)
Subtract 14: \( 5x = -30 \)
Divide by 5: \( x = -6 \)

Step3: Find y using x = -6

Substitute \( x = -6 \) into \( y = -x - 7 \):
\( y = -(-6) - 7 = 6 - 7 = -1 \)

Answer:

The solution to the system is \( x = -6 \), \( y = -1 \) (or the ordered pair \((-6, -1)\))