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Question

The equations 3x5y+2=0 and 6x+4=10 y have

A
an infinite number of solutions
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B
no solution
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C
two solutions
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D
a single solution
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Solution

The correct option is A an infinite number of solutions
Thegivenequationsare3x5y+2=0(1)6x+4=10y(2)Equation(1)canbewrittenasy=35x+25(3)andequation(2)canbewrittenasy=610x+410=35x+25(4)Clearlyfrom(3)and(4)theslopesareequalandeach=35.Sothelinesnevermeet.Theyhaveinfinitesolutions.(Ans)

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