Question

y = 9x - 12
y = 3x
answer attempt 1 out of 5
(\square, \square) submit answer

Explanation:

Step1: Substitute \( y = 3x \) into \( y = 9x - 12 \)

Since both equations equal \( y \), we can set them equal to each other: \( 3x = 9x - 12 \)

Step2: Solve for \( x \)

Subtract \( 9x \) from both sides: \( 3x - 9x = 9x - 12 - 9x \)
Simplify: \( -6x = -12 \)
Divide both sides by \( -6 \): \( \frac{-6x}{-6} = \frac{-12}{-6} \)
We get \( x = 2 \)

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

Substitute \( x = 2 \) into \( y = 3x \): \( y = 3\times2 = 6 \)

Answer:

\((2, 6)\)