Question

1. \

$$\begin{cases} x - 2y = 12 \\\\ 5x + 3y = -44 \\end{cases}$$

Explanation:

Step1: Solve for x from first equation

From \( x - 2y = 12 \), we get \( x = 2y + 12 \).

Step2: Substitute x into second equation

Substitute \( x = 2y + 12 \) into \( 5x + 3y = -44 \):
\( 5(2y + 12) + 3y = -44 \)
Expand: \( 10y + 60 + 3y = -44 \)
Combine like terms: \( 13y + 60 = -44 \)
Subtract 60: \( 13y = -104 \)
Divide by 13: \( y = -8 \).

Step3: Find x using y

Substitute \( y = -8 \) into \( x = 2y + 12 \):
\( x = 2(-8) + 12 = -16 + 12 = -4 \).

Answer:

\( x = -4 \), \( y = -8 \)