Question

1. \\(-3x + 9y = 6\\)\\(x - 9y = 10\\)

Explanation:

Step1: Add the two equations

$$(-3x + 9y) + (x - 9y) = 6 + 10$$
$$-3x + x + 9y - 9y = 16$$
$$-2x = 16$$

Step2: Solve for x

$$x = \frac{16}{-2} = -8$$

Step3: Substitute x into second equation

$$-8 - 9y = 10$$

Step4: Solve for y

$$-9y = 10 + 8 = 18$$
$$y = \frac{18}{-9} = -2$$

Answer:

$x=-8$, $y=-2$