Question

question
solve the system by substitution.

$y = x$
$y = 4x - 9$

answer attempt 1 out of 2
(\boxed{1}, \boxed{\space})$

Explanation:

Step1: Substitute \( y = x \) into \( y = 4x - 9 \)

Since \( y = x \), we can replace \( y \) in the second equation with \( x \). So we get \( x = 4x - 9 \).

Step2: Solve for \( x \)

Subtract \( 4x \) from both sides: \( x - 4x = 4x - 9 - 4x \), which simplifies to \( -3x = -9 \). Then divide both sides by \( -3 \): \( \frac{-3x}{-3} = \frac{-9}{-3} \), so \( x = 3 \).

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

Since \( x = 3 \) and \( y = x \), then \( y = 3 \).

Answer:

\((3, 3)\)