Question

solve the system by substitution.
$-x - 3 = y$
$-3x - 8y = 4$
answer attempt 1 out of 3
$(square, square)$ submit answer

Explanation:

Step1: Substitute \( y = -x - 3 \) into the second equation

The second equation is \( -3x - 8y = 4 \). Substitute \( y \) with \( -x - 3 \):

$$ -3x - 8(-x - 3) = 4 $$

Step2: Simplify and solve for \( x \)

First, distribute the -8:

$$ -3x + 8x + 24 = 4 $$

Combine like terms:

$$ 5x + 24 = 4 $$

Subtract 24 from both sides:

$$ 5x = 4 - 24 $$

$$ 5x = -20 $$

Divide both sides by 5:

$$ x = \frac{-20}{5} = -4 $$

Step3: Substitute \( x = -4 \) back into \( y = -x - 3 \) to find \( y \)

$$ y = -(-4) - 3 $$

$$ y = 4 - 3 = 1 $$

Answer:

\((-4, 1)\)