Question

solve the system by substitution.

$y = -6x$
$y = -4x + 4$

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

Explanation:

Step1: Substitute \( y = -6x \) into \( y = -4x + 4 \)

We get the equation: \( -6x = -4x + 4 \)

Step2: Solve for \( x \)

Subtract \( -4x \) (or add \( 4x \)) to both sides: \( -6x + 4x = 4 \)
Simplify the left side: \( -2x = 4 \)
Divide both sides by \( -2 \): \( x = \frac{4}{-2} = -2 \)

Step3: Find \( y \) using \( y = -6x \)

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

Answer:

\((-2, 12)\)