Which of these systems of equations have a solution of (2, 3)? Select all that apply.x+y=54x+y=1132x+43y=78x–5y=1y=35x+952x–y2=52y=–14x+4y=12x+22x–4y=–8y=23x+43Submit

To find out which of these systems of equations have a solution of (2, 3), we need to substitute x=2 and y=3 into each equation and see if both sides of the equation are equal.

1. x+y=5: Substitute x=2 and y=3, we get 2+3=5, which is true. So, this equation has a solution of (2, 3).

2. 4x+y=11: Substitute x=2 and y=3, we get 4*2+3=11, which is true. So, this equation has a solution of (2, 3).

3. 32x+43y=78: Substitute x=2 and y=3, we get 322+433=78, which is not true. So, this equation does not have a solution of (2, 3).

4. x–5y=1: Substitute x=2 and y=3, we get 2-5*3=1, which is not true. So, this equation does not have a solution of (2, 3).

5. y=35x+95: Substitute x=2 and y=3, we get 3=35*2+95, which is not true. So, this equation does not have a solution of (2, 3).

6. 2x–y^2=5: Substitute x=2 and y=3, we get 2*2-3^2=5, which is not true. So, this equation does not have a solution of (2, 3).

7. 2y=–14x+4: Substitute x=2 and y=3, we get 23=-142+4, which is not true. So, this equation does not have a solution of (2, 3).

8. y=12x+2: Substitute x=2 and y=3, we get 3=12*2+2, which is not true. So, this equation does not have a solution of (2, 3).

9. 2x–4y=–8: Substitute x=2 and y=3, we get 22-43=-8, which is not true. So, this equation does not have a solution of (2, 3).

10. y=23x+43: Substitute x=2 and y=3, we get 3=23*2+43, which is not true. So, this equation does not have a solution of (2, 3).

So, the systems of equations that have a solution of (2, 3) are: x+y=5 and 4x+y=11.