Question

2x + 2y = -4
3x - 2y = 9

Answer 1

To solve this system of equations, multiply the first equation by 2 and the second equation by 2 to eliminate the y variable. Add the two equations together, divide by 10 to solve for x, and substitute x back into one of the original equations to solve for y. The solution is x = 1 and y = -3.

Step-by-step explanation:

To solve this system of equations:

1. Start by eliminating the variable y. Multiply the first equation by 2 and the second equation by 2. This will give you:
2. 4x + 4y = -8
3. 
   
4. 6x - 4y = 18
5. Add the two equations together to eliminate the y variable:
6. 10x = 10
7. Divide both sides by 10 to solve for x:
8. x = 1
9. Substitute the value of x back into one of the original equations. Let's use the first equation:
10. 2(1) + 2y = -4
11. Solve for y:
12. 2 + 2y = -4
13. 
    
14. 2y = -6
15. 
    
16. y = -3
17. The solution to the system of equations is x = 1 and y = -3.

Answer 2

x = −y −2

Step-by-step explanation: