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What are the possible values of x and y when 103x plus 107y equals n whereas n is the HCF of 103 and 107 showing working out?
Wiki User
∙ 7y ago
First get the greatest common factor. Since 103 and 107 have no common factors (they are both prime numbers), the answer is 1.Next, replace "n" with this greatest common factor in the equation.
Solve the equation for "y".
Assign any value to variable "x", and use this solved equation to find the corresponding value for "y". Repeat for a few other values of "x".
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoIf: HCF of 103 and 107 is 1
Then: 103x+107y = 1
So: 103*1/206 + 107*1/214 = 1 because 1/2+1/2 = 1
Therefore: x = 1/206 and y = 1/214
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