Question

$x+6=-2$
$3=9$
$x=-3$
$y=-3+6=$
$(-3,3)$
$5x-y=5$
$-x+3y=13$

Explanation:

Step1: Isolate $y$ from first equation

From $5x - y = 5$, rearrange to get $y = 5x - 5$.

Step2: Substitute $y$ into second equation

Substitute $y = 5x - 5$ into $-x + 3y = 13$:
$$-x + 3(5x - 5) = 13$$
Expand and simplify:
$$-x + 15x - 15 = 13$$
$$14x - 15 = 13$$

Step3: Solve for $x$

Add 15 to both sides, then divide by 14:
$$14x = 13 + 15 = 28$$
$$x = \frac{28}{14} = 2$$

Step4: Substitute $x$ to find $y$

Plug $x=2$ into $y = 5x - 5$:
$$y = 5(2) - 5 = 10 - 5 = 5$$

Answer:

$x=2$, $y=5$ (or the ordered pair $(2, 5)$)