Question

elimination method (show your work) -2x-9y=-25 -4x-9y=-23 solution (□,□)

Explanation:

Step1: Subtract equations to eliminate $y$

$$(-2x - 9y) - (-4x - 9y) = -25 - (-23)$$
Simplify:
$$-2x -9y +4x +9y = -25 +23$$
$$2x = -2$$

Step2: Solve for $x$

$$x = \frac{-2}{2} = -1$$

Step3: Substitute $x=-1$ into first equation

$$-2(-1) -9y = -25$$
Simplify:
$$2 -9y = -25$$

Step4: Isolate term with $y$

$$-9y = -25 -2$$
$$-9y = -27$$

Step5: Solve for $y$

$$y = \frac{-27}{-9} = 3$$

Answer:

$(-1, 3)$