Question

X + y = -5 and x - y = -7

What is the solution for each system as an ordered pair (x, y)?
A) (-6, 1)
B) (-1, -4)
C) (6, -1)
D) (1, 4)

Answer 1

After adding the two given equations together to eliminate y, we find x to be -6. Substituting x in one of the original equations, we find y to be 1. So, the solution to the system of equations as an ordered pair is (-6, 1).

Step-by-step explanation:

To solve the system of linear equations x + y = -5 and x - y = -7, you can use the method of elimination or substitution. Let's use the elimination method.

1. Add the two equations together to eliminate y:
2. x + y = -5
3. 
   
4. x - y = -7
5. 
   
6. --------
7. 
   
8. 2x = -12
9. Divide by 2 to solve for x:
10. 2x / 2 = -12 / 2
11. 
    
12. x = -6
13. Substitute x = -6 into one of the original equations to find y:
14. x + y = -5
15. 
    
16. -6 + y = -5
17. 
    
18. y = 1

The solution of the system of equations is (x, y) = (-6, 1), which corresponds to answer choice A).