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Are the systems of equations equivalent? Explain.

4x + 6y = 3
5x + 7y = 15
12x + 18y = 9
5x + 7y = 15
The first equation in the second system
in the first system. Thus, the systems
in the first system, and the second equation in the second system
equivalent.

1 Answer

3 votes

Final answer:

The two systems of equations are not equivalent because the first equation in the second system is not present in the first system.


Step-by-step explanation:

The two systems of equations are not equivalent. In the first system, the equations are:

  1. 4x + 6y = 3
  2. 5x + 7y = 15

In the second system, the equations are:

  1. 12x + 18y = 9
  2. 5x + 7y = 15

If we compare the equations from both systems, we can see that the first equation in the second system is not present in the first system. Therefore, the two systems of equations are not equivalent.


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