[tex]\it 3x+2y=14
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5x-2y=18
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8x \ \ \ \ \ \ \ =32 \Rightarrow x = 32:8\Rightarrow x=4 \ \ \ (*)[/tex]
[tex]\it 3x+2y=14 \stackrel{(*)}{\Longrightarrow} 3\cdot4+2y=14 \Rightarrow 12+2y=14 \Rightarrow 2y=14-12\Rightarrow
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\Rightarrow 2y=2 \Rightarrow y=2:2 \Rightarrow y=1[/tex]
Therefore, the solution is: x = 4, y=1.