Question

-3x + 2y = 11
3x - 4y = -19

Explanation:

Step1: Add the two equations

$$(-3x + 2y) + (3x - 4y) = 11 + (-19)$$
Simplify: $-2y = -8$

Step2: Solve for $y$

$$y = \frac{-8}{-2} = 4$$

Step3: Substitute $y=4$ into second equation

$$3x - 4(4) = -19$$
Simplify: $3x - 16 = -19$

Step4: Solve for $x$

$$3x = -19 + 16 = -3$$
$$x = \frac{-3}{3} = -1$$

Answer:

$x=-1$, $y=4$