Question

solve the system by substitution.
$y = x - 35$
$y = -4x$

Explanation:

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

Since \( y = -4x \) and \( y = x - 35 \), substitute \( y \) in the first equation with \( -4x \):
\( -4x = x - 35 \)

Step2: Solve for \( x \)

Subtract \( x \) from both sides:
\( -4x - x = -35 \)
\( -5x = -35 \)
Divide both sides by \( -5 \):
\( x = \frac{-35}{-5} = 7 \)

Step3: Find \( y \) using \( y = -4x \)

Substitute \( x = 7 \) into \( y = -4x \):
\( y = -4(7) = -28 \)

Answer:

The solution to the system is \( x = 7 \) and \( y = -28 \), or the ordered pair \( (7, -28) \).