Question

17 Points! Examine this system of equations with the procedure for using the linear combination method.

4x − 9y = 54,

16x − 36y = 208

 

−16x + 36y = −216

16x − 36y = 208

  0 + 0 = −8

   0 = −8

Which statements accurately describe this system and its solution? Check all that apply.
The linear combination method produced a true statement.
The solution to the system is (0, –8).
The lines are parallel.
There is one solution to the system.
There is no solution to the system.

Answer 1

The lines are parallel

There is no solution to the system

I took the test and it said that these are the answers

Answer 2

The lines are parallel.

There is no solution to the system.

Explanation:

4x − 9y = 54,

16x − 36y = 208

−16x + 36y = −216

16x − 36y = 208

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0 + 0 = −8

0 = −8

Since this is not true, there are no solutions

The lines are parallel