Question

What is the solution to the following system of equations?

|3x - 2y = 12
[6x - 4y= 24

It has infinitely many solutions.
It has no solution.
It has one solution (2, -3).
It has one solution (4,0)​

Answer 1

Answer: It has infinitely solution

Explanation:

3x - 2y = 12
-2y = -3x + 12
y = -3/-2x + 12
y = 3/2x + 12

6x - 4y = 24
3x - 2y = 12 (divide both sides by 2)
y = 3/2x + 12

When 2 lines have the same slope and the same y intercept it means that the solution is infinitely many.