Question

solve the system of linear equations using the substitution method.
\

$$\begin{cases} y = -5x + 2 \\\\ y = -4x - 2 \\end{cases}$$

enter your answer as an ordered pair.

Explanation:

Step1: Substitute \( y \) from first equation into second.

Since \( y = -5x + 2 \) and \( y = -4x - 2 \), we set \( -5x + 2 = -4x - 2 \).

Step2: Solve for \( x \).

Add \( 5x \) to both sides: \( 2 = x - 2 \).
Add 2 to both sides: \( x = 4 \).

Step3: Substitute \( x = 4 \) into \( y = -5x + 2 \).

\( y = -5(4) + 2 = -20 + 2 = -18 \).

Answer:

\((4, -18)\)