Answer:
x = -16/5, y = 2.
Explanation:
To use elimination, we want to eliminate one of the variables by adding the two equations together. Notice that if we add the left-hand sides of the two equations, we get:
-5x - 7y + 5x + 9y = -2 + 6
The x terms cancel out, leaving us with:
2y = 4
Dividing both sides by 2, we get:
y = 2
Now we can substitute y = 2 into one of the original equations, such as:
-5x - 7y = 2
-5x - 7(2) = 2
Simplifying, we get:
-5x - 14 = 2
Adding 14 to both sides, we get:
-5x = 16
Dividing both sides by -5, we get:
x = -16/5
Therefore, the solution to the system of equations is: