Question

10.
$x + 5y = 19$
$-x - 2y = -4$

Explanation:

Step1: Add the two equations

$$(x + 5y) + (-x - 2y) = 19 + (-4)$$
Simplify: $3y = 15$

Step2: Solve for $y$

$$y = \frac{15}{3} = 5$$

Step3: Substitute $y=5$ into first equation

$$x + 5(5) = 19$$
Simplify: $x + 25 = 19$

Step4: Solve for $x$

$$x = 19 - 25 = -6$$

Answer:

$x=-6$, $y=5$