Which statements about this system of equations are true? Check all that apply 2 x minus 7 y = negative 13. Negative 2 x + 11 y = 1. The x-variable will be eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is 4 y = negative 12. x = 17 y = negative 3 There are infinitely many solutions to the system of equations.

1 and 3.

Step-by-step explanation:

The given system of equations

    ...(1)

    ... (2)

Here, coefficients of x have same values with opposite signs.

The x-variable will be eliminated when adding the system of equations.

Add (1) and (2), we get

Divide both sides by 4.

Put y=-3 in (1).

Divide both sides by 2.

So, the given system of equations have unique solution, i.e., (-17,-3).

Therefore, the correct options are 1 and 3.