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Solve the following system of equations: 3x − 2y = 6 6x − 4y = 12 (0, 0) (6, 12) Infinitely many solutions No solutions

Respuesta :

alinakincsem

Answer:

The correct answer option is: infinitely many solutions.

Step-by-step explanation:

We are given the following system of equations:

[tex] 3 x - 2 y = 6 [/tex] --- (1)

[tex] 6 x - 4 y = 1 2 [/tex] --- (2)

Dividing equation (2) by 2 to get:

[tex] 3 x - 2 y = 6 [/tex] --- (3)

As the equation (3) is same as the equation (1), therefore the system will have infinitely many solutions.

altavistard

Answer:

infinitely many solutions

Step-by-step explanation:

Note that if you multiply the first equation by 2, you get 6x - 4y = 12, which is exactly the same as the second equation.  These two lines coincide, and so there are infinitely many solutions.

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