Question

Rezolvati , in numere naturale ecuatiile:
a) 5x+7=2x+3*(x+9)-20
b) 4x+31=2x
c) 9x-13=4*(2x+1)+x-17
d) 6x+10=213

Rezolvati ecuatiile in numere naturale:
a)2x+7=x+32
b)11x+12=3x+36
c)x-7=x+13
d)x+2x+3x=3(2x+7)
e)6x-4x+13=2x+2*5+3
f) 7x+12=3x+4

Va rog frumos sa ma ajutati , este urgent !!!
Va rog cu sinceritate sa fie un raspuns complet ...

Answer 1

[tex]1.\\\\a)\\ 5x+7=2x+3*(x+9)-20\\\\ 5x+7=2x+3x+27-20\\\\ 5x-2x-3x=27-20-7\\\\ \bold{0=0=>ecuatia~nu ~are ~solutii}\\\\\\ b)\\4x+31=2x\\\\ 4x-2x=-31\\\\ 2x=-31\\\\ \bold{x= \frac{-31}{2} }\\\\\\ c)\\ 9x-13=4*(2x+1)+x-17\\\\ 9x-13=8x+4+x-17\\\\ 9x-8x-x=4-17+13\\\\ \bold{{0=0=>ecuatia~nu ~are ~solutii}}\\\\\\ d)\\ 6x+10=213\\\\ 6x=213-10\\\\ 6x=203\\\\ \bold{x= \frac{203}{6} } [/tex]
[tex]2.a)\\2x+7=x+32\\\\ 2x-x=32-7\\\\ \bold{x=25}\\\\\\ b)\\11x+12=3x+36\\\\ 11x-3x=36-12\\\\ 7x=14\\\\ x= \frac{14}{7}\\\\ \bold{x=2}\\\\\\ c)\\x-7=x+13\\\\ x-x=13+7\\\\ 0=20\\\\ \bold{=\ \textgreater \ ecuatia ~nu~are~solutii.}\\\\ d)\\x+2x+3x=3(2x+7)\\\\ 6x=6x+21\\\\ 6x-6x=21\\\\ 0=21\\\\ \bold{=\ \textgreater \ ecuatia~nu ~are~solutie}\\\\\\ [/tex]
[tex]e)\\6x-4x+13=2x+2*5+3\\\\ 6x-4x+13=2x+2*5+3\\\\ 2x+13=2x+13\\\\ 2x-2x=13-13\\\\ \bold{0=0=\ \textgreater \ ecuatia~nu~are~solutie}\\\\\\ f)\\ 7x+12=3x+4\\\\ 7x-3x=4-12\\\\ 4x=-8\\\\ x= \frac{-8}{4}\\\\ \bold{x=-2}[/tex]