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When positive integer x is divided by 11, the quotient is y and the remainder is 4. when 2x is divided by 8, the quotient is 3y and the remainder is 2. what is the value of 13y – x ?

Respuesta :

LammettHash
[tex]\dfrac x{11}=y+\dfrac4{11}\iff x=11y+4[/tex]
[tex]\dfrac{2x}8=3y+\dfrac28\iff2x=24y+2[/tex]

[tex]\implies 2x-x=(24y+2)-(11y+4)[/tex]
[tex]\implies x=13y-2[/tex]
[tex]\implies 13y-x=2[/tex]

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