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Question

Solve the following equations:
10x+y+z=12,
2x+10y+z=13,
2x+2y+10z=14

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Solution

10x+y+z=12(1)2x+10y+z=13(2)2x+2y+10z=14(3)(1)(2)8x9y=18x=9y1x=9y18(4)(2)(3)8y9z=19z=1+8yz=1+8y9(5)10(9y18)+y+(1+8y9)=12405y45+36y+4+32y=432473y=473y=1x=9(1)18=1z=1+8(1)9=1

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