Question

solve the system of linear equations by substitution. enter your answer as an ordered pair if the system has a solution. otherwise, enter \all real numbers\ if it has infinite solutions or
o solution\ if it has no solutions.\

$$\begin{cases} y = -4x - 36 \\\\ y = 2x \\end{cases}$$

show your work here

Explanation:

Step1: Substitute \( y = 2x \) into \( y = -4x - 36 \)

Since both equations equal \( y \), we can set them equal to each other: \( 2x = -4x - 36 \)

Step2: Solve for \( x \)

Add \( 4x \) to both sides: \( 2x + 4x = -36 \)
Simplify: \( 6x = -36 \)
Divide both sides by 6: \( x = \frac{-36}{6} = -6 \)

Step3: Find \( y \) using \( y = 2x \)

Substitute \( x = -6 \) into \( y = 2x \): \( y = 2(-6) = -12 \)

Answer:

\((-6, -12)\)