Question

a) a+b+c=2 b)2a+b+2c=0 c)a-c=2b gasiti numerele intregi a,b,c care sa indeplineasca simultan conditiile. urgentt va roog​

Answer 1

$a + b + c = 2 \\ 2a + b + 2c = 0 \\ a - c = 2b \\ adunam \: cu \: a \: doua \: relatie \: un \: b \\ \\ 2a + 2b + 2c = b \\ 2(a + b + c) = b \\ 2 \times 2 = b \\ b = 4 \\ \\ a - c = 2b \\ a - c = 2 \times 4 \\ a = 8 + c \\ \\ 8 + c + 4 + c = 2 \\ 12 + 2c = 2 \\ 6 + c = 1 = > c = 1 - 6 = - 5 \\ \\ a - c = 8 \\ a - ( - 5) = 8 \\ a + 5 = 8 = > a = 3$