asked 234k views
2 votes
Solve the following system of equations:

3x-2y =6
6x-4y = 12
a (0. 0)
b (6, 12)
c Infinitely many solutions
d No solutions

1 Answer

3 votes

Final answer:

The system of equations represents the same line twice, which means there are infinitely many solutions to this system.

Step-by-step explanation:

To solve the given system of simultaneous equations, we first observe the equations:

  • 3x - 2y = 6
  • 6x - 4y = 12

Notice that the second equation is simply twice the first equation. This implies that both equations represent the same line, and therefore, the system has infinitely many solutions. When equations in a system are multiple of each other, the lines are identical, thus overlapping completely which results in infinitely many points of intersection.

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User NeitoFR
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