Question

1. $6x + 6y = -6$

$5x + y = -13$

Explanation:

Step1: Simplify first equation

Divide $6x + 6y = -6$ by 6:
$x + y = -1$

Step2: Isolate $y$ from second equation

Rearrange $5x + y = -13$:
$y = -13 - 5x$

Step3: Substitute $y$ into simplified equation

Substitute $y = -13 - 5x$ into $x + y = -1$:
$x + (-13 - 5x) = -1$

Step4: Solve for $x$

Simplify and solve:
$x - 13 - 5x = -1$
$-4x - 13 = -1$
$-4x = 12$
$x = -3$

Step5: Solve for $y$

Substitute $x = -3$ into $y = -13 - 5x$:
$y = -13 - 5(-3) = -13 + 15 = 2$

Answer:

$x = -3$, $y = 2$