Respuesta :

Answer:

         x - 6y = 4,   3x - 18y = 12

Step-by-step explanation:

If we multiply the first equation by 3 we get the same left sides in both equations:

3x - 18y = 12  

3x - 18y = 4

To make system with an infinite number of solutions we need to make the left sides the same as well.

The required resulting equation that gives infinite solution will be x-6y= 3 and 3x-18y= 12

System of equations

System of equations can have difference kinds of solutions ranging from no solution, infinite number of solutions and real solutions.

For the system of equation that has infinite number of solutions, the two equations must be equal.

Given the system of equations

x-6y=4,

3x-18y=4

For the equation to have infinite number of solutions, we need to multiply the constant in equation 2 by 3 to have 4(3) = 12

Hence the required resulting equation that gives infinite solution will be x-6y= 3 and 3x-18y= 12

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