Question

solve.
$10x + 9y = -18$
$2x + y = -10$
$\left(\square, \square\
ight)$

Explanation:

Step1: Solve the second equation for y

From \(2x + y = -10\), we can express \(y\) as \(y = -10 - 2x\).

Step2: Substitute y into the first equation

Substitute \(y = -10 - 2x\) into \(10x + 9y = -18\):

$$
LATEXBLOCK0
$$

Step3: Solve for x

Add 90 to both sides:

$$
LATEXBLOCK1
$$

Divide both sides by -8:

$$ x = \frac{72}{-8} = -9 $$

Step4: Substitute x back to find y

Substitute \(x = -9\) into \(y = -10 - 2x\):

$$
LATEXBLOCK2
$$

Answer:

\((-9, 8)\)