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Solve by the elimination method.

What am I doing wrong?

1/3x + 1/2y=2/3

2/3x-2/5=1/5

I am multiplying the first equation by 6 and the second by 15. My results:

2x+3y=4
10x-6y=3

than I multiplying the first equation by 10 and the second equation by -2.

20x+30y=4
-20x+12y=-6
when I go solve it, I do not get the same answer which is 11/14,17/21. What am I doing wrong?

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