Which of these systems of equations have a solution of (–12,10)? Select all that apply.5x+5y=–10x–y=–22y=–x–2–2x–y=143x+4y=–4y=–4x–36y=–5x–50y=10x=12x+y=–2y=–3x–26y=2x+34Submit

To find out which of these systems of equations have a solution of (-12,10), we need to substitute x = -12 and y = 10 into each equation and see if both sides of the equation are equal.

1. 5x + 5y = -10 Substitute x = -12 and y = 10: 5*(-12) + 5*10 = -10 -60 + 50 = -10 -10 = -10 This equation is true.

2. x - y = -22 Substitute x = -12 and y = 10: -12 - 10 = -22 -22 = -22 This equation is true.

3. y = -x - 2 Substitute x = -12 and y = 10: 10 = -(-12) - 2 10 = 12 - 2 10 = 10 This equation is true.

4. -2x - y = 14 Substitute x = -12 and y = 10: -2*(-12) - 10 = 14 24 - 10 = 14 14 = 14 This equation is true.

5. 3x + 4y = -4 Substitute x = -12 and y = 10: 3*(-12) + 4*10 = -4 -36 + 40 = -4 4 = -4 This equation is false.

6. y = -4x - 36 Substitute x = -12 and y = 10: 10 = -4*(-12) - 36 10 = 48 - 36 10 = 12 This equation is false.

7. y = -5x - 50 Substitute x = -12 and y = 10: 10 = -5*(-12) - 50 10 = 60 - 50 10 = 10 This equation is true.

8. y = 10x Substitute x = -12 and y = 10: 10 = 10*(-12) 10 = -120 This equation is false.

9. x = 12 Substitute x = -12: -12 = 12 This equation is false.

10. x + y = -2 Substitute x = -12 and y = 10: -12 + 10 = -2 -2 = -2 This equation is true.

11. y = -3x - 26 Substitute x = -12 and y = 10: 10 = -3*(-12) - 26 10 = 36 - 26 10 = 10 This equation is true.

12. y = 2x + 34 Substitute x = -12 and y = 10: 10 = 2*(-12) + 34 10 = -24 + 34 10 = 10 This equation is true.

So, the systems of equations that have a solution of (-12,10) are: 5x + 5y = -10, x - y = -22, y = -x - 2, -2x - y = 14, y = -5x - 50, x + y = -2, y = -3x - 26, and y = 2x + 34.