# algebra

posted by .

Please check my system of linear equations using any algebraic method. Show the check,if possible.
8x-6y=12 / 12x-9y=18
8x-6y=12 (eq.1)
12x-9y=18 (eq.2)
4x-3y=6 (eq.1)
4x-3y=6 (eq.2)
y=4x-6 / 3

Check:

Thank you for your help.

• algebra -

8x-6y=12 / 12x-9y=18

reduce the equations;
1)4x-3y=6
3)4x-3y=6
They are the same equation, no solution.

• algebra -

They are the same equation, so infinitely many solutions.

• algebra -

steve is correct, I meant no single unique solution.

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