Solving Systems of Linear Equations: Linear Combinations — Quiz
Question 10 • Algebra I
The system of equations shown is solved using the linear combination method 6 x minus 5 y is equal to negative 8 which is same as 6 x minus 5 y is equal to negative 8 which is same as 6 x minus 5 y is equal to negative 8; negative 24 x plus 20 y is equal to 32 which is same as 1 fourth times negative 24 x plus 20 y is equal to 32 which is same as negative 6 x plus 5 y is equal to 8; 6 x minus 5 y is equal to negative 8 is added to 6 x plus 5 y is equal to 8 which results 0 is equal to 0 What does 0 is equal to 0 mean regarding the solution to the system?
Answer
A
There are infinitely many solutions to the system because the equations represent the same line.
B
There are infinitely many solutions to the system because the equations represent parallel lines.
C
There are no solutions to the system because the equations represent the same line.
D
There are no solutions to the system because the equations represent parallel lines.