Answer:
Explanation:
To solve this system of equations:
-2x - 9y = -25 ..............(1)
-4x - 9y = -23 ..............(2)
We can use the method of elimination to solve for one of the variables. We'll multiply equation (1) by -2 and add the resulting equation to equation (2) to eliminate x.
-2(-2x - 9y = -25) = 4x + 18y = 50 ..............(1') [multiplying equation (1) by -2]
-4x - 9y = -23 ..............(2)
Now we can add equations (1') and (2) to eliminate x:
4x + 18y = 50 ..............(1')
-4x - 9y = -23 ..............(2)
9y = 27
Dividing both sides by 9, we get:
y = 3
Now that we know y = 3, we can substitute this value back into either equation (1) or (2) to solve for x. Let's use equation (1):
-2x - 9y = -25
-2x - 9(3) = -25
-2x - 27 = -25
Adding 27 to both sides, we get:
-2x = 2
Dividing both sides by -2, we get:
x = -1
Therefore, the solution to the system of equations is x = -1 and y = 3.