Question

question 6
-2x - 9y = -25
-4x - 9y = -23
type your answer in the form (x, y)

Explanation:

Step1: Label the equations

Equation 1: $-2x - 9y = -25$
Equation 2: $-4x - 9y = -23$

Step2: Eliminate $y$ via subtraction

Subtract Equation 1 from Equation 2:
$$(-4x - 9y) - (-2x - 9y) = -23 - (-25)$$
$$-4x -9y +2x +9y = -23 +25$$
$$-2x = 2$$

Step3: Solve for $x$

Divide both sides by $-2$:
$$x = \frac{2}{-2} = -1$$

Step4: Substitute $x=-1$ into Equation1

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

Step5: Isolate and solve for $y$

Subtract 2 from both sides:
$$-9y = -25 -2 = -27$$
Divide by $-9$:
$$y = \frac{-27}{-9} = 3$$

Answer:

$(-1, 3)$