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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.

2 Answers

1 vote

Answer:

A, C, E

This you answer!

User Vinz
by
7.8k points
3 votes

Answer:

1 and 3.

Explanation:

The given system of equations


2x-7y=-13 ...(1)


-2x+11y=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


2x-7y-2x+11y=-13+1


4y=-12

Divide both sides by 4.


y=-3

Put y=-3 in (1).


2x-7(-3)=-13


2x+21=-13


2x=-13-21


2x=-34

Divide both sides by 2.


x=-17

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

Therefore, the correct options are 1 and 3.

User Shahrooz Jafari
by
8.4k points

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