Answer:
x = 9, y = -9
Explanation:
To solve the system of equations:
3x + 3y = 0
-7x - 9y = 18
We can use the method of substitution. Rearranging the first equation, we get:
3x = -3y
Dividing both sides by 3, we get:
x = -y
Now we can substitute this expression for x into the second equation:
-7(-y) - 9y = 18
Simplifying, we get:
7y - 9y = 18
-2y = 18
Dividing both sides by -2, we get:
y = -9
Now that we know y, we can substitute this value back into either of the original equations to find x. Using the first equation, we get:
3x + 3(-9) = 0
Simplifying, we get:
3x - 27 = 0
Adding 27 to both sides, we get:
3x = 27
Dividing both sides by 3, we get:
x = 9
Therefore, the solution to the system of equations is:
x = 9, y = -9