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First, translate it to linear equation: Let the larger number be x and the smaller number y: x-y=14 3x=5y+2

Transpose it and use the amazing concept of SUBSTITUTION!! (Reminder: If something goes to the other side, its sign is changed!) x-y=14 x-14=y So, use x-14 as your y for the second equation!!! 3x=5y+2 3x=5(x-14) + 2 3x=5x-70+2 3x=5x-68 3x-5x=-68 -2x=-68 -2x/-2=-68/-2 x=34 x-y=14 34-y=14 34-14=y y=20 So: x=34 and y=20 Check: x-y=14 34-20=14 14=14, Check! 3(34)=5(20)+2 102=100+2 102=102, Check!! Therefore, the larger number is 34 and the smaller number is 20!