Question

solve using substitution.
$x + y = -5$
$4x + 7y = -14$
(\boxed{\quad}, \boxed{\quad})$

Explanation:

Step1: Solve for x from the first equation

From \( x + y = -5 \), we can express \( x \) as \( x = -5 - y \).

Step2: Substitute x into the second equation

Substitute \( x = -5 - y \) into \( 4x + 7y = -14 \):

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Step3: Solve for y

Add 20 to both sides:

$$ 3y = -14 + 20 = 6 $$

Divide both sides by 3:

$$ y = \frac{6}{3} = 2 $$

Step4: Substitute y back to find x

Substitute \( y = 2 \) into \( x = -5 - y \):

$$ x = -5 - 2 = -7 $$

Answer:

\((-7, 2)\)