Question

y = 3x
y = -4x - 49

Explanation:

Step1: Set the two equations equal

Since both equations equal \( y \), we can set \( 3x = -4x - 49 \).

Step2: Solve for \( x \)

Add \( 4x \) to both sides: \( 3x + 4x = -49 \), which simplifies to \( 7x = -49 \). Then divide both sides by 7: \( x = \frac{-49}{7} = -7 \).

Step3: Find \( y \) using \( y = 3x \)

Substitute \( x = -7 \) into \( y = 3x \): \( y = 3\times(-7) = -21 \).

Answer:

The solution to the system of equations is \( x = -7 \) and \( y = -21 \), or the ordered pair \( (-7, -21) \).