Question

9 x + 2y = -2 4x + 2y = -17

Explanation:

Step1: Subtract first equation from second

$$(4x + 2y) - (x + 2y) = -17 - (-2)$$
Simplify:
$$3x = -15$$

Step2: Solve for x

$$x = \frac{-15}{3} = -5$$

Step3: Substitute x into first equation

$$-5 + 2y = -2$$

Step4: Solve for y

$$2y = -2 + 5 = 3$$
$$y = \frac{3}{2}$$

Answer:

$x=-5$, $y=\frac{3}{2}$