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.

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Answer:

1 and 3.

Step-by-step explanation:

The given system of equations

[tex]2x-7y=-13[/tex]     ...(1)

[tex]-2x+11y=1[/tex]     ... (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

[tex]2x-7y-2x+11y=-13+1[/tex]

[tex]4y=-12[/tex]

Divide both sides by 4.

[tex]y=-3[/tex]

Put y=-3 in (1).

[tex]2x-7(-3)=-13[/tex]

[tex]2x+21=-13[/tex]

[tex]2x=-13-21[/tex]

[tex]2x=-34[/tex]

Divide both sides by 2.

[tex]x=-17[/tex]

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

Therefore, the correct options are 1 and 3.

Answer:

itz A C E

Step-by-step explanation:

its correeecttt :/

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