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PLease help and explain

PLease help and explain-example-1

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  • 4x+3y=23----(1)
  • x-5y=0----(2)

From eq(2)


\\ \sf\longmapsto x-5y=0


\\ \sf\longmapsto x=5y\dots(3)

  • Put the value in eq(1)


\\ \sf\longmapsto 4x+3y=23


\\ \sf\longmapsto 4(5y)+3y=23


\\ \sf\longmapsto 20y+3y=23


\\ \sf\longmapsto 23y=23


\\ \sf\longmapsto y=1

  • Put the value in eq(3)


\\ \sf\longmapsto x=5y


\\ \sf\longmapsto x=5(1)


\\ \sf\longmapsto x=5

Hence

(x,y)=(5,1)

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