Răspuns :

  • [tex] \boxed{ \bf a + 2b + c = 29}[/tex]
  • [tex] \boxed{ \bf 2a + 4b+ 2c = 58}[/tex]
  • [tex] \boxed{\bf 3a + 5b + 2c = 72}[/tex]
  • [tex] \boxed{\bf 5a +7b+ 2c = 100}[/tex]

Explicație pas cu pas:

Salutare!

[tex] \bf a+b=14 \: \: \: \text{relatia 1}[/tex]

[tex] \bf b+c=19\: \: \: \text{relatia 2}[/tex]

[tex] \text{Adunam cele 2 relatii}[/tex]

[tex] \bf a + b + b + c = 14 + 19[/tex]

  • [tex] \boxed{ \bf a + 2b + c = 29}[/tex]

[tex] \bf a + 2b+ c = 29 \: \: \Big | \cdot 2[/tex]

[tex] \bf 2a + 4b+ 2c = 29 \cdot 2[/tex]

  • [tex] \boxed{ \bf 2a + 4b+ 2c = 58}[/tex]

[tex] \bf a+b=14[/tex]

[tex] \bf 2a + 4b + 2c = 58[/tex]

[tex] \text{Adunam cele 2 relatii}[/tex]

[tex] \bf a + b+ 2a + 4b + 2c = 58 + 14[/tex]

  • [tex] \boxed{\bf 3a + 5b + 2c = 72}[/tex]

[tex] \bf a + b = 14 \: \: \Big | \cdot 2[/tex]

[tex] \bf 2a + 2b= 28 [/tex]

[tex] \bf 3a + 5b + 2c = 72[/tex]

[tex] \text{Adunam cele 2 relatii}[/tex]

[tex] \bf 2a +2b+ 3a + 5b + 2c = 28+72[/tex]

  • [tex] \boxed{\bf 5a +7b+ 2c = 100}[/tex]

==pav38==