Question

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

Answer 1

Answer:

The correct answer option is: infinitely many solutions.

Step-by-step explanation:

We are given the following system of equations:

$3 x - 2 y = 6$ --- (1)

$6 x - 4 y = 1 2$ --- (2)

Dividing equation (2) by 2 to get:

$3 x - 2 y = 6$ --- (3)

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

Answer 2

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.