Question

What is the solution to the following system of equations {3x-2y=12{6x-4y=24

Answer 1

There is an infinite number of solutions.

All points on line 3x - 2y = 12 are solutions.

Explanation:

3x - 2y = 12

6x - 4y = 24

Divide both sides of the second equation by 2:

3x - 2y = 12

Both equations are the same equation, so there is an infinite number of solutions. All points on line 3x - 2y = 12 are solutions.

Answer 2

Hey there! :)

Answer:

Infinite solutions.

Explanation:

Solve this system of equations by subtracting the first equation from the second:

6x - 4y = 24

3x - 2y = 12

Multiply the bottom equation by 2 to make the terms with the y variable equivalent:

6x - 4y = 24

6x - 4y = 24

Subtract:

0x + 0y = 0

0 = 0

Therefore, there are infinite solutions to the system of equations.