Question

solve the system by substitution.

y = 8x + 32
y = -8x

Explanation:

Step1: Substitute \( y = -8x \) into \( y = 8x + 32 \)

Since both equations equal \( y \), we can set them equal to each other: \( -8x = 8x + 32 \)

Step2: Solve for \( x \)

Add \( 8x \) to both sides: \( 0 = 16x + 32 \)
Subtract 32 from both sides: \( -32 = 16x \)
Divide by 16: \( x = -2 \)

Step3: Substitute \( x = -2 \) into \( y = -8x \)

\( y = -8(-2) = 16 \)

Answer:

The solution to the system is \( x = -2 \) and \( y = 16 \), or the ordered pair \( (-2, 16) \)