Question

1. \

$$\begin{cases} y = -3x - 5 \\\\ y = 4x + 30 \\end{cases}$$

Explanation:

Step1: Set the two equations equal

Since both equations are solved for \( y \), we can set them equal to each other:
\( -3x - 5 = 4x + 30 \)

Step2: Solve for \( x \)

Add \( 3x \) to both sides:
\( -5 = 7x + 30 \)
Subtract 30 from both sides:
\( -35 = 7x \)
Divide both sides by 7:
\( x = -5 \)

Step3: Substitute \( x \) back to find \( y \)

Substitute \( x = -5 \) into \( y = -3x - 5 \):
\( y = -3(-5) - 5 \)
\( y = 15 - 5 \)
\( y = 10 \)

Answer:

The solution to the system is \( x = -5 \), \( y = 10 \) (or the ordered pair \((-5, 10)\))