4
practice testMultiple Choice

Practice Test

Question 4 • Mathematics 8

Which statements about this system of equations are true? Choose three correct answers. 2 x minus 7 y is equal to negative 13 negative 2 x plus 11 y is equal to 1

Answer
A
The x -variable will be eliminated when adding the system of equations.
B
y is equal to negative 3
C
The y -variable will be eliminated when adding the system of equations.
D
The sum of the system of equations is 4 y is equal to negative 12 .
E
There are infinitely many solutions to the system of equations.
F
x is equal to 17

Explanation

Adding the equations cancels the x-terms: (2x − 2x) + (−7y + 11y) = −13 + 1, giving 4y = −12. Thus y = −3, so the x-variable is eliminated and the sum is 4y = −12. The true statements are that x is eliminated, y equals −3, and the sum is 4y = −12.

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