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Question

If the system of linear equations
2x3y=γ+5,
αx+5y=β+1,
where α,β,γR has infinitely many solutions, then the value of |9α+3β+5γ| is equal to

A
58
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B
58.0
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C
58.00
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Solution

If 2x3y=γ+5 and αx+5y=β+1 have infinitely many solutions, then
2α=35=γ+5β+1
α=103 and 3β+5γ=28
So, |9α+3β+5γ|=|3028|=58

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