Question

question
solve the system of equations graphed on the coordinate axes below.
$y = -4x - 5$
$y = x$

Explanation:

Step1: Substitute \( y = x \) into \( y = -4x - 5 \)

Since \( y = x \), we can replace \( y \) in the first equation with \( x \). So we get \( x = -4x - 5 \).

Step2: Solve for \( x \)

Add \( 4x \) to both sides of the equation \( x = -4x - 5 \). This gives \( x + 4x = -5 \), which simplifies to \( 5x = -5 \). Then divide both sides by 5: \( x = \frac{-5}{5} = -1 \).

Step3: Find \( y \)

Since \( y = x \), and we found \( x = -1 \), then \( y = -1 \).

Answer:

The solution to the system of equations is \( x = -1 \), \( y = -1 \) or the ordered pair \( (-1, -1) \).