exam Maths Puzzle Numerical Ability

I have a dusey for you. My teacher cant explaine it so i can understand it. i need to solve this system of equations with elimination:
A: x-2y+3z=4
B: 2x+y-4z=3
C: -3x+4y-z=-2

Much appriecated!!!

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Ed and Dave are going to divide a cash prize of $14,000 in a ratio of 2 to 5. How much will Dave receive?
The answer I got is $4,000.
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