Question

solve using substitution.
$y = -4x - 2$
$y = -5x - 3$
( , )
save answer

Explanation:

Step1: Set equations equal

Since $y = -4x - 2$ and $y = -5x - 3$, substitute $y$:
$$-4x - 2 = -5x - 3$$

Step2: Solve for $x$

Add $5x$ to both sides, then add 2 to both sides:
$$-4x + 5x = -3 + 2$$
$$x = -1$$

Step3: Find $y$ with $x=-1$

Substitute $x=-1$ into $y=-4x-2$:
$$y = -4(-1) - 2 = 4 - 2 = 2$$

Answer:

$(-1, 2)$