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What are the possible values of x and y when d equals 58x plus 145y and that d is the HCF of 58 and 145 showing work?

Updated: 12/20/2022

Wiki User

∙ 7y ago

Best Answer

If d is the highest common factor of 58 and 145 then d equals 29:-

So: 29 = 58x+145y

Divide all terms by 29: 1 = 2x+5y

Or: 2*1/4+5*1/10 = 1

Therefore the possible values of x and y are 1/4 and 1/10 respectively

Check: 58*1/4 plus 145*1/10 = 29

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What is the ordered pair of X equals 2y - 2 and 3x - y equals 14?

x = 2y - 23x - y = 143(2y - 2) - y = 146y - 6 - y = 145y - 6 = 145y = 20y = 4x = 2(4) - 2x = 8 - 2x = 6The ordered pair is (6,4).

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What are the possible values of x and y when d equals 58x plus 145y and that d is the HCF of 58 and 145 showing work?

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