Question

$4x + 3y = 18$
$-4x - 1y = -6$

Explanation:

Step1: Add the two equations

$$(4x + 3y) + (-4x - y) = 18 + (-6)$$
Simplify the left side: $4x - 4x + 3y - y = 2y$
Simplify the right side: $18 - 6 = 12$
Result: $2y = 12$

Step2: Solve for $y$

$$y = \frac{12}{2} = 6$$

Step3: Substitute $y=6$ into first equation

$$4x + 3(6) = 18$$
Calculate $3(6)=18$: $4x + 18 = 18$

Step4: Solve for $x$

$$4x = 18 - 18 = 0$$
$$x = \frac{0}{4} = 0$$

Answer:

$x=0$, $y=6$