Question

solve using substitution.

y = 3x - 6
y = -2x + 9

(\boxed{ }, \boxed{ })

Explanation:

Step1: Substitute y from first equation

Since both equations equal \( y \), set them equal: \( 3x - 6 = -2x + 9 \)

Step2: Solve for x

Add \( 2x \) to both sides: \( 5x - 6 = 9 \)
Add 6 to both sides: \( 5x = 15 \)
Divide by 5: \( x = 3 \)

Step3: Find y using x=3

Substitute \( x = 3 \) into \( y = 3x - 6 \): \( y = 3(3) - 6 = 9 - 6 = 3 \)

Answer:

\( (3, 3) \)