Question

X+6y=-5
2x+12y=-10
Solve the system using elimination method

Answer 1

• The system has infinitely many solutions

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Given system:

• x + 6y = - 5
• 2x + 12y = - 10

First simplify the second equation by dividing all terms by 2:

• x + 6y = - 5

We got the same equation as the first one. It means the two lines overlap, so there are infinitely many solutions.

If we use elimination method, we will subtract the two equations then end up with equation 0 = 0.