Question

5.
+ 3x + 9y = -6
1x - 9y = 10

Explanation:

Step1: Add the two equations

$$(3x + 9y) + (x - 9y) = -6 + 10$$
Simplify to eliminate $y$:
$$4x = 4$$

Step2: Solve for $x$

$$x = \frac{4}{4} = 1$$

Step3: Substitute $x=1$ into second equation

$$1 - 9y = 10$$

Step4: Solve for $y$

$$-9y = 10 - 1$$
$$-9y = 9$$
$$y = \frac{9}{-9} = -1$$

Answer:

$x=1$, $y=-1$