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Question

Solve the linear equation:
x47x=5x3+1

A
x=6133
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B
x=1322
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C
x=457
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D
x=6811
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Solution

The correct option is C x=6811
Wehave,x47x=5x3+1x47x7=5x+33[TakingLCMonLHSandRHS]6x47=8x33(6x4)=7(8x)[Bycrossmultiplication]18x12=567x18x+7x=56+12[Transposing7xtoLHSand12toRHS]11x=68or,x=6811

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