Question

question
solve the system by substitution.

( y = -x )
( y = -3x - 16 )

Explanation:

Step1: Substitute \( y=-x \) into \( y = -3x - 16 \)

Since both equations equal \( y \), we can set \( -x=-3x - 16 \)

Step2: Solve for \( x \)

Add \( 3x \) to both sides: \( -x + 3x=-3x - 16+ 3x \)
Simplify: \( 2x=-16 \)
Divide both sides by 2: \( x=\frac{-16}{2}=-8 \)

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

Substitute \( x = -8 \) into \( y=-x \): \( y=-(-8)=8 \)

Answer:

The solution to the system is \( x = -8 \) and \( y = 8 \), or the ordered pair \( (-8, 8) \)