Question

1. $-2x - 6y = -26$; $-2x + y = -12$

Explanation:

Step1: Subtract the two equations to eliminate \(x\)

We have the system of equations:

$$
LATEXBLOCK0
$$

Subtract equation \((2)\) from equation \((1)\):

$$
LATEXBLOCK1
$$

Step2: Solve for \(y\)

Divide both sides of \(-7y = -14\) by \(-7\):

$$ y=\frac{-14}{-7} = 2 $$

Step3: Substitute \(y = 2\) into equation \((2)\) to solve for \(x\)

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

$$
LATEXBLOCK2
$$

Answer:

The solution to the system is \(x = 7\) and \(y = 2\)