Question

solve the system by substitution.

$y = -5x - 40$

$y = 5x$

Explanation:

Step1: Substitute \( y = 5x \) into \( y = -5x - 40 \)

Since both equations equal \( y \), we can set them equal to each other: \( 5x = -5x - 40 \)

Step2: Solve for \( x \)

Add \( 5x \) to both sides: \( 5x + 5x = -40 \)
Simplify: \( 10x = -40 \)
Divide both sides by 10: \( x = \frac{-40}{10} = -4 \)

Step3: Solve for \( y \)

Substitute \( x = -4 \) into \( y = 5x \): \( y = 5(-4) = -20 \)

Answer:

The solution to the system is \( x = -4 \) and \( y = -20 \), or the ordered pair \( (-4, -20) \)