4
QuizMultiple Choice

Solving Systems of Linear Equations: Linear Combinations — Quiz

Question 4 • Algebra I

The system of equations is solved using the linear combination method. 1 half x plus 4 y is equal to 8 which is same as negative 2 times 1 half x plus 4 y is equal to 8 which is same as negative x minus 8 y is equal to negative 16; 3 x plus 24 y is equal to 12 which is same as 1 third times 3 x plus 24 y is equal to 12 which is same as x plus 8 y is equal to 4; negative x minus 8 y is equal to negative 16 is added to x plus 8 y is equal to 4 which results 0 is equal to negative 12 What does 0 is equal to negative 12 mean regarding the solution to the system?

Answer
A
There are no solutions to the system because the equations represent the same line.
B
There are infinitely many solutions to the system because the equations represent the same line.
C
There are infinitely many solutions to the system because the equations represent parallel lines.
D
There are no solutions to the system because the equations represent parallel lines.
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