Question

daca a+b=14 si b+c=19 calculati: a+2b+c
2a+4b+2c
5a+5b+2b+2c
3a+5b+2c

Answer 1

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

Explicație pas cu pas:

Salutare!

$\bf a+b=14 \: \: \: \text{relatia 1}$

$\bf b+c=19\: \: \: \text{relatia 2}$

$\text{Adunam cele 2 relatii}$

$\bf a + b + b + c = 14 + 19$

• $\boxed{ \bf a + 2b + c = 29}$

$\bf a + 2b+ c = 29 \: \: \Big | \cdot 2$

$\bf 2a + 4b+ 2c = 29 \cdot 2$

• $\boxed{ \bf 2a + 4b+ 2c = 58}$

$\bf a+b=14$

$\bf 2a + 4b + 2c = 58$

$\text{Adunam cele 2 relatii}$

$\bf a + b+ 2a + 4b + 2c = 58 + 14$

• $\boxed{\bf 3a + 5b + 2c = 72}$

$\bf a + b = 14 \: \: \Big | \cdot 2$

$\bf 2a + 2b= 28$

$\bf 3a + 5b + 2c = 72$

$\text{Adunam cele 2 relatii}$

$\bf 2a +2b+ 3a + 5b + 2c = 28+72$

• $\boxed{\bf 5a +7b+ 2c = 100}$

==pav38==